4(w-3)-7w=-6

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Solution for 4(w-3)-7w=-6 equation:


Simplifying
4(w + -3) + -7w = -6

Reorder the terms:
4(-3 + w) + -7w = -6
(-3 * 4 + w * 4) + -7w = -6
(-12 + 4w) + -7w = -6

Combine like terms: 4w + -7w = -3w
-12 + -3w = -6

Solving
-12 + -3w = -6

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + -3w = -6 + 12

Combine like terms: -12 + 12 = 0
0 + -3w = -6 + 12
-3w = -6 + 12

Combine like terms: -6 + 12 = 6
-3w = 6

Divide each side by '-3'.
w = -2

Simplifying
w = -2

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