# Solve for u 5(u+2)+u=3(u-1)+1

5(u+2)+u=3(u-1)+1
Simplify 5(u+2)+u.
Simplify each term.
Apply the distributive property.
5u+5⋅2+u=3(u-1)+1
Multiply 5 by 2.
5u+10+u=3(u-1)+1
5u+10+u=3(u-1)+1
6u+10=3(u-1)+1
6u+10=3(u-1)+1
Simplify 3(u-1)+1.
Simplify each term.
Apply the distributive property.
6u+10=3u+3⋅-1+1
Multiply 3 by -1.
6u+10=3u-3+1
6u+10=3u-3+1
6u+10=3u-2
6u+10=3u-2
Move all terms containing u to the left side of the equation.
Subtract 3u from both sides of the equation.
6u+10-3u=-2
Subtract 3u from 6u.
3u+10=-2
3u+10=-2
Move all terms not containing u to the right side of the equation.
Subtract 10 from both sides of the equation.
3u=-2-10
Subtract 10 from -2.
3u=-12
3u=-12
Divide each term by 3 and simplify.
Divide each term in 3u=-12 by 3.
3u3=-123
Cancel the common factor of 3.
Cancel the common factor.
3u3=-123
Divide u by 1.
u=-123
u=-123
Divide -12 by 3.
u=-4
u=-4
Solve for u 5(u+2)+u=3(u-1)+1

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