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Simplifying -8w + -18 = -3(w + -4) Reorder the terms: -18 + -8w = -3(w + -4) Reorder the terms: -18 + -8w = -3(-4 + w) -18 + -8w = (-4 * -3 + w * -3) -18 + -8w = (12 + -3w) Solving -18 + -8w = 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. -18 + -8w + 3w = 12 + -3w + 3w Combine like terms: -8w + 3w = -5w -18 + -5w = 12 + -3w + 3w Combine like terms: -3w + 3w = 0 -18 + -5w = 12 + 0 -18 + -5w = 12 Add '18' to each side of the equation. -18 + 18 + -5w = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5w = 12 + 18 -5w = 12 + 18 Combine like terms: 12 + 18 = 30 -5w = 30 Divide each side by '-5'. w = -6 Simplifying w = -6
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