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Simplifying 3(w + -4) + -1(7w + -8) = -5w Reorder the terms: 3(-4 + w) + -1(7w + -8) = -5w (-4 * 3 + w * 3) + -1(7w + -8) = -5w (-12 + 3w) + -1(7w + -8) = -5w Reorder the terms: -12 + 3w + -1(-8 + 7w) = -5w -12 + 3w + (-8 * -1 + 7w * -1) = -5w -12 + 3w + (8 + -7w) = -5w Reorder the terms: -12 + 8 + 3w + -7w = -5w Combine like terms: -12 + 8 = -4 -4 + 3w + -7w = -5w Combine like terms: 3w + -7w = -4w -4 + -4w = -5w Solving -4 + -4w = -5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '5w' to each side of the equation. -4 + -4w + 5w = -5w + 5w Combine like terms: -4w + 5w = 1w -4 + 1w = -5w + 5w Combine like terms: -5w + 5w = 0 -4 + 1w = 0 Add '4' to each side of the equation. -4 + 4 + 1w = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1w = 0 + 4 1w = 0 + 4 Combine like terms: 0 + 4 = 4 1w = 4 Divide each side by '1'. w = 4 Simplifying w = 4
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