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Simplifying 5w + (w + -7) + -8 = -1(w + -2) + 123 Reorder the terms: 5w + (-7 + w) + -8 = -1(w + -2) + 123 Remove parenthesis around (-7 + w) 5w + -7 + w + -8 = -1(w + -2) + 123 Reorder the terms: -7 + -8 + 5w + w = -1(w + -2) + 123 Combine like terms: -7 + -8 = -15 -15 + 5w + w = -1(w + -2) + 123 Combine like terms: 5w + w = 6w -15 + 6w = -1(w + -2) + 123 Reorder the terms: -15 + 6w = -1(-2 + w) + 123 -15 + 6w = (-2 * -1 + w * -1) + 123 -15 + 6w = (2 + -1w) + 123 Reorder the terms: -15 + 6w = 2 + 123 + -1w Combine like terms: 2 + 123 = 125 -15 + 6w = 125 + -1w Solving -15 + 6w = 125 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -15 + 6w + w = 125 + -1w + w Combine like terms: 6w + w = 7w -15 + 7w = 125 + -1w + w Combine like terms: -1w + w = 0 -15 + 7w = 125 + 0 -15 + 7w = 125 Add '15' to each side of the equation. -15 + 15 + 7w = 125 + 15 Combine like terms: -15 + 15 = 0 0 + 7w = 125 + 15 7w = 125 + 15 Combine like terms: 125 + 15 = 140 7w = 140 Divide each side by '7'. w = 20 Simplifying w = 20
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