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Simplifying -4(3w + -5) = 3w + -13 Reorder the terms: -4(-5 + 3w) = 3w + -13 (-5 * -4 + 3w * -4) = 3w + -13 (20 + -12w) = 3w + -13 Reorder the terms: 20 + -12w = -13 + 3w Solving 20 + -12w = -13 + 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. 20 + -12w + -3w = -13 + 3w + -3w Combine like terms: -12w + -3w = -15w 20 + -15w = -13 + 3w + -3w Combine like terms: 3w + -3w = 0 20 + -15w = -13 + 0 20 + -15w = -13 Add '-20' to each side of the equation. 20 + -20 + -15w = -13 + -20 Combine like terms: 20 + -20 = 0 0 + -15w = -13 + -20 -15w = -13 + -20 Combine like terms: -13 + -20 = -33 -15w = -33 Divide each side by '-15'. w = 2.2 Simplifying w = 2.2
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