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Simplifying -4(w + 7) = -7w + -46 Reorder the terms: -4(7 + w) = -7w + -46 (7 * -4 + w * -4) = -7w + -46 (-28 + -4w) = -7w + -46 Reorder the terms: -28 + -4w = -46 + -7w Solving -28 + -4w = -46 + -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. -28 + -4w + 7w = -46 + -7w + 7w Combine like terms: -4w + 7w = 3w -28 + 3w = -46 + -7w + 7w Combine like terms: -7w + 7w = 0 -28 + 3w = -46 + 0 -28 + 3w = -46 Add '28' to each side of the equation. -28 + 28 + 3w = -46 + 28 Combine like terms: -28 + 28 = 0 0 + 3w = -46 + 28 3w = -46 + 28 Combine like terms: -46 + 28 = -18 3w = -18 Divide each side by '3'. w = -6 Simplifying w = -6
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