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

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


Simplifying
10(3 + -1w) + 7 = -7(w + -3) + -4
(3 * 10 + -1w * 10) + 7 = -7(w + -3) + -4
(30 + -10w) + 7 = -7(w + -3) + -4

Reorder the terms:
30 + 7 + -10w = -7(w + -3) + -4

Combine like terms: 30 + 7 = 37
37 + -10w = -7(w + -3) + -4

Reorder the terms:
37 + -10w = -7(-3 + w) + -4
37 + -10w = (-3 * -7 + w * -7) + -4
37 + -10w = (21 + -7w) + -4

Reorder the terms:
37 + -10w = 21 + -4 + -7w

Combine like terms: 21 + -4 = 17
37 + -10w = 17 + -7w

Solving
37 + -10w = 17 + -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
37 + -10w + 7w = 17 + -7w + 7w

Combine like terms: -10w + 7w = -3w
37 + -3w = 17 + -7w + 7w

Combine like terms: -7w + 7w = 0
37 + -3w = 17 + 0
37 + -3w = 17

Add '-37' to each side of the equation.
37 + -37 + -3w = 17 + -37

Combine like terms: 37 + -37 = 0
0 + -3w = 17 + -37
-3w = 17 + -37

Combine like terms: 17 + -37 = -20
-3w = -20

Divide each side by '-3'.
w = 6.666666667

Simplifying
w = 6.666666667

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