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Simplifying 8 + -1(w + 3) = 5w + -3w + -7 Reorder the terms: 8 + -1(3 + w) = 5w + -3w + -7 8 + (3 * -1 + w * -1) = 5w + -3w + -7 8 + (-3 + -1w) = 5w + -3w + -7 Combine like terms: 8 + -3 = 5 5 + -1w = 5w + -3w + -7 Reorder the terms: 5 + -1w = -7 + 5w + -3w Combine like terms: 5w + -3w = 2w 5 + -1w = -7 + 2w Solving 5 + -1w = -7 + 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. 5 + -1w + -2w = -7 + 2w + -2w Combine like terms: -1w + -2w = -3w 5 + -3w = -7 + 2w + -2w Combine like terms: 2w + -2w = 0 5 + -3w = -7 + 0 5 + -3w = -7 Add '-5' to each side of the equation. 5 + -5 + -3w = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -3w = -7 + -5 -3w = -7 + -5 Combine like terms: -7 + -5 = -12 -3w = -12 Divide each side by '-3'. w = 4 Simplifying w = 4
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