7(10-3w)=15(15-4w)

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Solution for 7(10-3w)=15(15-4w) equation:


Simplifying
7(10 + -3w) = 15(15 + -4w)
(10 * 7 + -3w * 7) = 15(15 + -4w)
(70 + -21w) = 15(15 + -4w)
70 + -21w = (15 * 15 + -4w * 15)
70 + -21w = (225 + -60w)

Solving
70 + -21w = 225 + -60w

Solving for variable 'w'.

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

Add '60w' to each side of the equation.
70 + -21w + 60w = 225 + -60w + 60w

Combine like terms: -21w + 60w = 39w
70 + 39w = 225 + -60w + 60w

Combine like terms: -60w + 60w = 0
70 + 39w = 225 + 0
70 + 39w = 225

Add '-70' to each side of the equation.
70 + -70 + 39w = 225 + -70

Combine like terms: 70 + -70 = 0
0 + 39w = 225 + -70
39w = 225 + -70

Combine like terms: 225 + -70 = 155
39w = 155

Divide each side by '39'.
w = 3.974358974

Simplifying
w = 3.974358974

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