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Simplifying 7 + -1(w + 2) = 3w + -38 Reorder the terms: 7 + -1(2 + w) = 3w + -38 7 + (2 * -1 + w * -1) = 3w + -38 7 + (-2 + -1w) = 3w + -38 Combine like terms: 7 + -2 = 5 5 + -1w = 3w + -38 Reorder the terms: 5 + -1w = -38 + 3w Solving 5 + -1w = -38 + 3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-3w' to each side of the equation. 5 + -1w + -3w = -38 + 3w + -3w Combine like terms: -1w + -3w = -4w 5 + -4w = -38 + 3w + -3w Combine like terms: 3w + -3w = 0 5 + -4w = -38 + 0 5 + -4w = -38 Add '-5' to each side of the equation. 5 + -5 + -4w = -38 + -5 Combine like terms: 5 + -5 = 0 0 + -4w = -38 + -5 -4w = -38 + -5 Combine like terms: -38 + -5 = -43 -4w = -43 Divide each side by '-4'. w = 10.75 Simplifying w = 10.75
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