3(4w+1)-5(3w-2)=

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Solution for 3(4w+1)-5(3w-2)= equation:


Simplifying
3(4w + 1) + -5(3w + -2) = 0

Reorder the terms:
3(1 + 4w) + -5(3w + -2) = 0
(1 * 3 + 4w * 3) + -5(3w + -2) = 0
(3 + 12w) + -5(3w + -2) = 0

Reorder the terms:
3 + 12w + -5(-2 + 3w) = 0
3 + 12w + (-2 * -5 + 3w * -5) = 0
3 + 12w + (10 + -15w) = 0

Reorder the terms:
3 + 10 + 12w + -15w = 0

Combine like terms: 3 + 10 = 13
13 + 12w + -15w = 0

Combine like terms: 12w + -15w = -3w
13 + -3w = 0

Solving
13 + -3w = 0

Solving for variable 'w'.

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

Add '-13' to each side of the equation.
13 + -13 + -3w = 0 + -13

Combine like terms: 13 + -13 = 0
0 + -3w = 0 + -13
-3w = 0 + -13

Combine like terms: 0 + -13 = -13
-3w = -13

Divide each side by '-3'.
w = 4.333333333

Simplifying
w = 4.333333333

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