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Simplifying -3(w + 4) = 4w + -5 Reorder the terms: -3(4 + w) = 4w + -5 (4 * -3 + w * -3) = 4w + -5 (-12 + -3w) = 4w + -5 Reorder the terms: -12 + -3w = -5 + 4w Solving -12 + -3w = -5 + 4w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4w' to each side of the equation. -12 + -3w + -4w = -5 + 4w + -4w Combine like terms: -3w + -4w = -7w -12 + -7w = -5 + 4w + -4w Combine like terms: 4w + -4w = 0 -12 + -7w = -5 + 0 -12 + -7w = -5 Add '12' to each side of the equation. -12 + 12 + -7w = -5 + 12 Combine like terms: -12 + 12 = 0 0 + -7w = -5 + 12 -7w = -5 + 12 Combine like terms: -5 + 12 = 7 -7w = 7 Divide each side by '-7'. w = -1 Simplifying w = -1
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