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Simplifying 3(w + -4) + -8 = -2(-8w + 8) + -1w Reorder the terms: 3(-4 + w) + -8 = -2(-8w + 8) + -1w (-4 * 3 + w * 3) + -8 = -2(-8w + 8) + -1w (-12 + 3w) + -8 = -2(-8w + 8) + -1w Reorder the terms: -12 + -8 + 3w = -2(-8w + 8) + -1w Combine like terms: -12 + -8 = -20 -20 + 3w = -2(-8w + 8) + -1w Reorder the terms: -20 + 3w = -2(8 + -8w) + -1w -20 + 3w = (8 * -2 + -8w * -2) + -1w -20 + 3w = (-16 + 16w) + -1w Combine like terms: 16w + -1w = 15w -20 + 3w = -16 + 15w Solving -20 + 3w = -16 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -20 + 3w + -15w = -16 + 15w + -15w Combine like terms: 3w + -15w = -12w -20 + -12w = -16 + 15w + -15w Combine like terms: 15w + -15w = 0 -20 + -12w = -16 + 0 -20 + -12w = -16 Add '20' to each side of the equation. -20 + 20 + -12w = -16 + 20 Combine like terms: -20 + 20 = 0 0 + -12w = -16 + 20 -12w = -16 + 20 Combine like terms: -16 + 20 = 4 -12w = 4 Divide each side by '-12'. w = -0.3333333333 Simplifying w = -0.3333333333
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