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Simplifying 3(w + -4) + -9 = -2(-8w + 3) + -1w Reorder the terms: 3(-4 + w) + -9 = -2(-8w + 3) + -1w (-4 * 3 + w * 3) + -9 = -2(-8w + 3) + -1w (-12 + 3w) + -9 = -2(-8w + 3) + -1w Reorder the terms: -12 + -9 + 3w = -2(-8w + 3) + -1w Combine like terms: -12 + -9 = -21 -21 + 3w = -2(-8w + 3) + -1w Reorder the terms: -21 + 3w = -2(3 + -8w) + -1w -21 + 3w = (3 * -2 + -8w * -2) + -1w -21 + 3w = (-6 + 16w) + -1w Combine like terms: 16w + -1w = 15w -21 + 3w = -6 + 15w Solving -21 + 3w = -6 + 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. -21 + 3w + -15w = -6 + 15w + -15w Combine like terms: 3w + -15w = -12w -21 + -12w = -6 + 15w + -15w Combine like terms: 15w + -15w = 0 -21 + -12w = -6 + 0 -21 + -12w = -6 Add '21' to each side of the equation. -21 + 21 + -12w = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -12w = -6 + 21 -12w = -6 + 21 Combine like terms: -6 + 21 = 15 -12w = 15 Divide each side by '-12'. w = -1.25 Simplifying w = -1.25
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