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Simplifying 8w + -31 = -5(2 + -3w) Reorder the terms: -31 + 8w = -5(2 + -3w) -31 + 8w = (2 * -5 + -3w * -5) -31 + 8w = (-10 + 15w) Solving -31 + 8w = -10 + 15w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-15w' to each side of the equation. -31 + 8w + -15w = -10 + 15w + -15w Combine like terms: 8w + -15w = -7w -31 + -7w = -10 + 15w + -15w Combine like terms: 15w + -15w = 0 -31 + -7w = -10 + 0 -31 + -7w = -10 Add '31' to each side of the equation. -31 + 31 + -7w = -10 + 31 Combine like terms: -31 + 31 = 0 0 + -7w = -10 + 31 -7w = -10 + 31 Combine like terms: -10 + 31 = 21 -7w = 21 Divide each side by '-7'. w = -3 Simplifying w = -3
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