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Simplifying -7(w + 1) = -4w + 8 Reorder the terms: -7(1 + w) = -4w + 8 (1 * -7 + w * -7) = -4w + 8 (-7 + -7w) = -4w + 8 Reorder the terms: -7 + -7w = 8 + -4w Solving -7 + -7w = 8 + -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. -7 + -7w + 4w = 8 + -4w + 4w Combine like terms: -7w + 4w = -3w -7 + -3w = 8 + -4w + 4w Combine like terms: -4w + 4w = 0 -7 + -3w = 8 + 0 -7 + -3w = 8 Add '7' to each side of the equation. -7 + 7 + -3w = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -3w = 8 + 7 -3w = 8 + 7 Combine like terms: 8 + 7 = 15 -3w = 15 Divide each side by '-3'. w = -5 Simplifying w = -5
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