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Simplifying -6 = 4(w + -3) + -7w Reorder the terms: -6 = 4(-3 + w) + -7w -6 = (-3 * 4 + w * 4) + -7w -6 = (-12 + 4w) + -7w Combine like terms: 4w + -7w = -3w -6 = -12 + -3w Solving -6 = -12 + -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. -6 + 3w = -12 + -3w + 3w Combine like terms: -3w + 3w = 0 -6 + 3w = -12 + 0 -6 + 3w = -12 Add '6' to each side of the equation. -6 + 6 + 3w = -12 + 6 Combine like terms: -6 + 6 = 0 0 + 3w = -12 + 6 3w = -12 + 6 Combine like terms: -12 + 6 = -6 3w = -6 Divide each side by '3'. w = -2 Simplifying w = -2
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