7(10-w)=5(15-4w)

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Solution for 7(10-w)=5(15-4w) equation:


Simplifying
7(10 + -1w) = 5(15 + -4w)
(10 * 7 + -1w * 7) = 5(15 + -4w)
(70 + -7w) = 5(15 + -4w)
70 + -7w = (15 * 5 + -4w * 5)
70 + -7w = (75 + -20w)

Solving
70 + -7w = 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.
70 + -7w + 20w = 75 + -20w + 20w

Combine like terms: -7w + 20w = 13w
70 + 13w = 75 + -20w + 20w

Combine like terms: -20w + 20w = 0
70 + 13w = 75 + 0
70 + 13w = 75

Add '-70' to each side of the equation.
70 + -70 + 13w = 75 + -70

Combine like terms: 70 + -70 = 0
0 + 13w = 75 + -70
13w = 75 + -70

Combine like terms: 75 + -70 = 5
13w = 5

Divide each side by '13'.
w = 0.3846153846

Simplifying
w = 0.3846153846

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