3(4-7w)=1-5(3+w)

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Solution for 3(4-7w)=1-5(3+w) equation: 


Simplifying
3(4 + -7w) = 1 + -5(3 + w)
(4 * 3 + -7w * 3) = 1 + -5(3 + w)
(12 + -21w) = 1 + -5(3 + w)
12 + -21w = 1 + (3 * -5 + w * -5)
12 + -21w = 1 + (-15 + -5w)

Combine like terms: 1 + -15 = -14
12 + -21w = -14 + -5w

Solving
12 + -21w = -14 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
12 + -21w + 5w = -14 + -5w + 5w

Combine like terms: -21w + 5w = -16w
12 + -16w = -14 + -5w + 5w

Combine like terms: -5w + 5w = 0
12 + -16w = -14 + 0
12 + -16w = -14

Add '-12' to each side of the equation.
12 + -12 + -16w = -14 + -12

Combine like terms: 12 + -12 = 0
0 + -16w = -14 + -12
-16w = -14 + -12

Combine like terms: -14 + -12 = -26
-16w = -26

Divide each side by '-16'.
w = 1.625

Simplifying
w = 1.625

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