3(w+3)+4(w-2)=7+1

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Solution for 3(w+3)+4(w-2)=7+1 equation: 


Simplifying
3(w + 3) + 4(w + -2) = 7 + 1

Reorder the terms:
3(3 + w) + 4(w + -2) = 7 + 1
(3 * 3 + w * 3) + 4(w + -2) = 7 + 1
(9 + 3w) + 4(w + -2) = 7 + 1

Reorder the terms:
9 + 3w + 4(-2 + w) = 7 + 1
9 + 3w + (-2 * 4 + w * 4) = 7 + 1
9 + 3w + (-8 + 4w) = 7 + 1

Reorder the terms:
9 + -8 + 3w + 4w = 7 + 1

Combine like terms: 9 + -8 = 1
1 + 3w + 4w = 7 + 1

Combine like terms: 3w + 4w = 7w
1 + 7w = 7 + 1

Combine like terms: 7 + 1 = 8
1 + 7w = 8

Solving
1 + 7w = 8

Solving for variable 'w'.

Move all terms containing w to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + 7w = 8 + -1

Combine like terms: 1 + -1 = 0
0 + 7w = 8 + -1
7w = 8 + -1

Combine like terms: 8 + -1 = 7
7w = 7

Divide each side by '7'.
w = 1

Simplifying
w = 1

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