7(1-3w)=5(15-4w)

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Solution for 7(1-3w)=5(15-4w) equation:


Simplifying
7(1 + -3w) = 5(15 + -4w)
(1 * 7 + -3w * 7) = 5(15 + -4w)
(7 + -21w) = 5(15 + -4w)
7 + -21w = (15 * 5 + -4w * 5)
7 + -21w = (75 + -20w)

Solving
7 + -21w = 75 + -20w

Solving for variable 'w'.

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

Add '20w' to each side of the equation.
7 + -21w + 20w = 75 + -20w + 20w

Combine like terms: -21w + 20w = -1w
7 + -1w = 75 + -20w + 20w

Combine like terms: -20w + 20w = 0
7 + -1w = 75 + 0
7 + -1w = 75

Add '-7' to each side of the equation.
7 + -7 + -1w = 75 + -7

Combine like terms: 7 + -7 = 0
0 + -1w = 75 + -7
-1w = 75 + -7

Combine like terms: 75 + -7 = 68
-1w = 68

Divide each side by '-1'.
w = -68

Simplifying
w = -68

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