# Solve for h 95=1/2*(h(10+9))

95=12⋅(h(10+9))
Rewrite the equation as 12⋅(h(10+9))=95.
12⋅(h(10+9))=95
Multiply both sides of the equation by 112⋅(10+9).
112⋅(10+9)⋅12⋅(h(10+9))=112⋅(10+9)⋅95
Simplify both sides of the equation.
Simplify 112⋅(10+9)⋅12⋅(h(10+9)).
112⋅19⋅12⋅(h(10+9))=112⋅(10+9)⋅95
Combine 12 and 19.
1192⋅12⋅(h(10+9))=112⋅(10+9)⋅95
Multiply the numerator by the reciprocal of the denominator.
1(219)⋅12⋅(h(10+9))=112⋅(10+9)⋅95
Multiply 219 by 1.
219⋅12⋅(h(10+9))=112⋅(10+9)⋅95
Cancel the common factor of 2.
Cancel the common factor.
219⋅12⋅(h(10+9))=112⋅(10+9)⋅95
Rewrite the expression.
119⋅(h(10+9))=112⋅(10+9)⋅95
119⋅(h(10+9))=112⋅(10+9)⋅95
119⋅(h⋅19)=112⋅(10+9)⋅95
Cancel the common factor of 19.
Factor 19 out of h⋅19.
119⋅(19⋅h)=112⋅(10+9)⋅95
Cancel the common factor.
119⋅(19⋅h)=112⋅(10+9)⋅95
Rewrite the expression.
h=112⋅(10+9)⋅95
h=112⋅(10+9)⋅95
h=112⋅(10+9)⋅95
Simplify 112⋅(10+9)⋅95.
h=112⋅19⋅95
Combine 12 and 19.
h=1192⋅95
Multiply the numerator by the reciprocal of the denominator.
h=1(219)⋅95
Multiply 219 by 1.
h=219⋅95
Cancel the common factor of 19.
Factor 19 out of 95.
h=219⋅(19(5))
Cancel the common factor.
h=219⋅(19⋅5)
Rewrite the expression.
h=2⋅5
h=2⋅5
Multiply 2 by 5.
h=10
h=10
h=10
Solve for h 95=1/2*(h(10+9))

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