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Simplifying -7w + -12 = -3(w + -4) Reorder the terms: -12 + -7w = -3(w + -4) Reorder the terms: -12 + -7w = -3(-4 + w) -12 + -7w = (-4 * -3 + w * -3) -12 + -7w = (12 + -3w) Solving -12 + -7w = 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. -12 + -7w + 3w = 12 + -3w + 3w Combine like terms: -7w + 3w = -4w -12 + -4w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -12 + -4w = 12 + 0 -12 + -4w = 12 Add '12' to each side of the equation. -12 + 12 + -4w = 12 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = 12 + 12 -4w = 12 + 12 Combine like terms: 12 + 12 = 24 -4w = 24 Divide each side by '-4'. w = -6 Simplifying w = -6
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