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Simplifying 6(5w + -5) = -31(3 + -1w) Reorder the terms: 6(-5 + 5w) = -31(3 + -1w) (-5 * 6 + 5w * 6) = -31(3 + -1w) (-30 + 30w) = -31(3 + -1w) -30 + 30w = (3 * -31 + -1w * -31) -30 + 30w = (-93 + 31w) Solving -30 + 30w = -93 + 31w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-31w' to each side of the equation. -30 + 30w + -31w = -93 + 31w + -31w Combine like terms: 30w + -31w = -1w -30 + -1w = -93 + 31w + -31w Combine like terms: 31w + -31w = 0 -30 + -1w = -93 + 0 -30 + -1w = -93 Add '30' to each side of the equation. -30 + 30 + -1w = -93 + 30 Combine like terms: -30 + 30 = 0 0 + -1w = -93 + 30 -1w = -93 + 30 Combine like terms: -93 + 30 = -63 -1w = -63 Divide each side by '-1'. w = 63 Simplifying w = 63
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