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Simplifying 42 = 31 + -7(5 + -4w) 42 = 31 + (5 * -7 + -4w * -7) 42 = 31 + (-35 + 28w) Combine like terms: 31 + -35 = -4 42 = -4 + 28w Solving 42 = -4 + 28w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-28w' to each side of the equation. 42 + -28w = -4 + 28w + -28w Combine like terms: 28w + -28w = 0 42 + -28w = -4 + 0 42 + -28w = -4 Add '-42' to each side of the equation. 42 + -42 + -28w = -4 + -42 Combine like terms: 42 + -42 = 0 0 + -28w = -4 + -42 -28w = -4 + -42 Combine like terms: -4 + -42 = -46 -28w = -46 Divide each side by '-28'. w = 1.642857143 Simplifying w = 1.642857143
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