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Simplifying -1(w + -10) = 3w + -2 + -7x + 8 Reorder the terms: -1(-10 + w) = 3w + -2 + -7x + 8 (-10 * -1 + w * -1) = 3w + -2 + -7x + 8 (10 + -1w) = 3w + -2 + -7x + 8 Reorder the terms: 10 + -1w = -2 + 8 + 3w + -7x Combine like terms: -2 + 8 = 6 10 + -1w = 6 + 3w + -7x Solving 10 + -1w = 6 + 3w + -7x 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. 10 + -1w + -3w = 6 + 3w + -3w + -7x Combine like terms: -1w + -3w = -4w 10 + -4w = 6 + 3w + -3w + -7x Combine like terms: 3w + -3w = 0 10 + -4w = 6 + 0 + -7x 10 + -4w = 6 + -7x Add '-10' to each side of the equation. 10 + -10 + -4w = 6 + -10 + -7x Combine like terms: 10 + -10 = 0 0 + -4w = 6 + -10 + -7x -4w = 6 + -10 + -7x Combine like terms: 6 + -10 = -4 -4w = -4 + -7x Divide each side by '-4'. w = 1 + 1.75x Simplifying w = 1 + 1.75x
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