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Simplifying -1(w + 15) = 3(w + -4) Reorder the terms: -1(15 + w) = 3(w + -4) (15 * -1 + w * -1) = 3(w + -4) (-15 + -1w) = 3(w + -4) Reorder the terms: -15 + -1w = 3(-4 + w) -15 + -1w = (-4 * 3 + w * 3) -15 + -1w = (-12 + 3w) Solving -15 + -1w = -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. -15 + -1w + -3w = -12 + 3w + -3w Combine like terms: -1w + -3w = -4w -15 + -4w = -12 + 3w + -3w Combine like terms: 3w + -3w = 0 -15 + -4w = -12 + 0 -15 + -4w = -12 Add '15' to each side of the equation. -15 + 15 + -4w = -12 + 15 Combine like terms: -15 + 15 = 0 0 + -4w = -12 + 15 -4w = -12 + 15 Combine like terms: -12 + 15 = 3 -4w = 3 Divide each side by '-4'. w = -0.75 Simplifying w = -0.75
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