4(w+1)=3(4w+6)

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Solution for 4(w+1)=3(4w+6) equation:


Simplifying
4(w + 1) = 3(4w + 6)

Reorder the terms:
4(1 + w) = 3(4w + 6)
(1 * 4 + w * 4) = 3(4w + 6)
(4 + 4w) = 3(4w + 6)

Reorder the terms:
4 + 4w = 3(6 + 4w)
4 + 4w = (6 * 3 + 4w * 3)
4 + 4w = (18 + 12w)

Solving
4 + 4w = 18 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
4 + 4w + -12w = 18 + 12w + -12w

Combine like terms: 4w + -12w = -8w
4 + -8w = 18 + 12w + -12w

Combine like terms: 12w + -12w = 0
4 + -8w = 18 + 0
4 + -8w = 18

Add '-4' to each side of the equation.
4 + -4 + -8w = 18 + -4

Combine like terms: 4 + -4 = 0
0 + -8w = 18 + -4
-8w = 18 + -4

Combine like terms: 18 + -4 = 14
-8w = 14

Divide each side by '-8'.
w = -1.75

Simplifying
w = -1.75

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