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

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


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

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

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

Combine like terms: 4 + -7 = -3
-3 + 4w = 3(w + -1) + 3

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

Reorder the terms:
-3 + 4w = -3 + 3 + 3w

Combine like terms: -3 + 3 = 0
-3 + 4w = 0 + 3w
-3 + 4w = 3w

Solving
-3 + 4w = 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-3 + 4w + -3w = 3w + -3w

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

Combine like terms: 3w + -3w = 0
-3 + 1w = 0

Add '3' to each side of the equation.
-3 + 3 + 1w = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 1w = 0 + 3
1w = 0 + 3

Combine like terms: 0 + 3 = 3
1w = 3

Divide each side by '1'.
w = 3

Simplifying
w = 3

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