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Simplifying 5(w + -4) + -1(7w + -8) = w + 6 Reorder the terms: 5(-4 + w) + -1(7w + -8) = w + 6 (-4 * 5 + w * 5) + -1(7w + -8) = w + 6 (-20 + 5w) + -1(7w + -8) = w + 6 Reorder the terms: -20 + 5w + -1(-8 + 7w) = w + 6 -20 + 5w + (-8 * -1 + 7w * -1) = w + 6 -20 + 5w + (8 + -7w) = w + 6 Reorder the terms: -20 + 8 + 5w + -7w = w + 6 Combine like terms: -20 + 8 = -12 -12 + 5w + -7w = w + 6 Combine like terms: 5w + -7w = -2w -12 + -2w = w + 6 Reorder the terms: -12 + -2w = 6 + w Solving -12 + -2w = 6 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -12 + -2w + -1w = 6 + w + -1w Combine like terms: -2w + -1w = -3w -12 + -3w = 6 + w + -1w Combine like terms: w + -1w = 0 -12 + -3w = 6 + 0 -12 + -3w = 6 Add '12' to each side of the equation. -12 + 12 + -3w = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -3w = 6 + 12 -3w = 6 + 12 Combine like terms: 6 + 12 = 18 -3w = 18 Divide each side by '-3'. w = -6 Simplifying w = -6
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