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Simplifying 10 = -5 + 2(w + -7) Reorder the terms: 10 = -5 + 2(-7 + w) 10 = -5 + (-7 * 2 + w * 2) 10 = -5 + (-14 + 2w) Combine like terms: -5 + -14 = -19 10 = -19 + 2w Solving 10 = -19 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. 10 + -2w = -19 + 2w + -2w Combine like terms: 2w + -2w = 0 10 + -2w = -19 + 0 10 + -2w = -19 Add '-10' to each side of the equation. 10 + -10 + -2w = -19 + -10 Combine like terms: 10 + -10 = 0 0 + -2w = -19 + -10 -2w = -19 + -10 Combine like terms: -19 + -10 = -29 -2w = -29 Divide each side by '-2'. w = 14.5 Simplifying w = 14.5
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