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Simplifying -3w + -12 = -6(w + -1) Reorder the terms: -12 + -3w = -6(w + -1) Reorder the terms: -12 + -3w = -6(-1 + w) -12 + -3w = (-1 * -6 + w * -6) -12 + -3w = (6 + -6w) Solving -12 + -3w = 6 + -6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '6w' to each side of the equation. -12 + -3w + 6w = 6 + -6w + 6w Combine like terms: -3w + 6w = 3w -12 + 3w = 6 + -6w + 6w Combine like terms: -6w + 6w = 0 -12 + 3w = 6 + 0 -12 + 3w = 6 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 = 18 3w = 18 Divide each side by '3'. w = 6 Simplifying w = 6
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