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Simplifying -4(w + 4) = -7w + -31 Reorder the terms: -4(4 + w) = -7w + -31 (4 * -4 + w * -4) = -7w + -31 (-16 + -4w) = -7w + -31 Reorder the terms: -16 + -4w = -31 + -7w Solving -16 + -4w = -31 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. -16 + -4w + 7w = -31 + -7w + 7w Combine like terms: -4w + 7w = 3w -16 + 3w = -31 + -7w + 7w Combine like terms: -7w + 7w = 0 -16 + 3w = -31 + 0 -16 + 3w = -31 Add '16' to each side of the equation. -16 + 16 + 3w = -31 + 16 Combine like terms: -16 + 16 = 0 0 + 3w = -31 + 16 3w = -31 + 16 Combine like terms: -31 + 16 = -15 3w = -15 Divide each side by '3'. w = -5 Simplifying w = -5
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