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Simplifying 10 + -1(12 + w) = w + 5 10 + (12 * -1 + w * -1) = w + 5 10 + (-12 + -1w) = w + 5 Combine like terms: 10 + -12 = -2 -2 + -1w = w + 5 Reorder the terms: -2 + -1w = 5 + w Solving -2 + -1w = 5 + w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1w' to each side of the equation. -2 + -1w + -1w = 5 + w + -1w Combine like terms: -1w + -1w = -2w -2 + -2w = 5 + w + -1w Combine like terms: w + -1w = 0 -2 + -2w = 5 + 0 -2 + -2w = 5 Add '2' to each side of the equation. -2 + 2 + -2w = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -2w = 5 + 2 -2w = 5 + 2 Combine like terms: 5 + 2 = 7 -2w = 7 Divide each side by '-2'. w = -3.5 Simplifying w = -3.5
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