19=4(w-2)-7w

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Solution for 19=4(w-2)-7w equation:


Simplifying
19 = 4(w + -2) + -7w

Reorder the terms:
19 = 4(-2 + w) + -7w
19 = (-2 * 4 + w * 4) + -7w
19 = (-8 + 4w) + -7w

Combine like terms: 4w + -7w = -3w
19 = -8 + -3w

Solving
19 = -8 + -3w

Solving for variable 'w'.

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

Add '3w' to each side of the equation.
19 + 3w = -8 + -3w + 3w

Combine like terms: -3w + 3w = 0
19 + 3w = -8 + 0
19 + 3w = -8

Add '-19' to each side of the equation.
19 + -19 + 3w = -8 + -19

Combine like terms: 19 + -19 = 0
0 + 3w = -8 + -19
3w = -8 + -19

Combine like terms: -8 + -19 = -27
3w = -27

Divide each side by '3'.
w = -9

Simplifying
w = -9

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