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Simplifying 2(w + -1) + -9 = 10(w + 7) + -1 Reorder the terms: 2(-1 + w) + -9 = 10(w + 7) + -1 (-1 * 2 + w * 2) + -9 = 10(w + 7) + -1 (-2 + 2w) + -9 = 10(w + 7) + -1 Reorder the terms: -2 + -9 + 2w = 10(w + 7) + -1 Combine like terms: -2 + -9 = -11 -11 + 2w = 10(w + 7) + -1 Reorder the terms: -11 + 2w = 10(7 + w) + -1 -11 + 2w = (7 * 10 + w * 10) + -1 -11 + 2w = (70 + 10w) + -1 Reorder the terms: -11 + 2w = 70 + -1 + 10w Combine like terms: 70 + -1 = 69 -11 + 2w = 69 + 10w Solving -11 + 2w = 69 + 10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-10w' to each side of the equation. -11 + 2w + -10w = 69 + 10w + -10w Combine like terms: 2w + -10w = -8w -11 + -8w = 69 + 10w + -10w Combine like terms: 10w + -10w = 0 -11 + -8w = 69 + 0 -11 + -8w = 69 Add '11' to each side of the equation. -11 + 11 + -8w = 69 + 11 Combine like terms: -11 + 11 = 0 0 + -8w = 69 + 11 -8w = 69 + 11 Combine like terms: 69 + 11 = 80 -8w = 80 Divide each side by '-8'. w = -10 Simplifying w = -10
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