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Simplifying -1(3w + 4) + 5(w + -2) + -6w + -8 = 10 Reorder the terms: -1(4 + 3w) + 5(w + -2) + -6w + -8 = 10 (4 * -1 + 3w * -1) + 5(w + -2) + -6w + -8 = 10 (-4 + -3w) + 5(w + -2) + -6w + -8 = 10 Reorder the terms: -4 + -3w + 5(-2 + w) + -6w + -8 = 10 -4 + -3w + (-2 * 5 + w * 5) + -6w + -8 = 10 -4 + -3w + (-10 + 5w) + -6w + -8 = 10 Reorder the terms: -4 + -10 + -8 + -3w + 5w + -6w = 10 Combine like terms: -4 + -10 = -14 -14 + -8 + -3w + 5w + -6w = 10 Combine like terms: -14 + -8 = -22 -22 + -3w + 5w + -6w = 10 Combine like terms: -3w + 5w = 2w -22 + 2w + -6w = 10 Combine like terms: 2w + -6w = -4w -22 + -4w = 10 Solving -22 + -4w = 10 Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 22 + -4w = 10 + 22 Combine like terms: -22 + 22 = 0 0 + -4w = 10 + 22 -4w = 10 + 22 Combine like terms: 10 + 22 = 32 -4w = 32 Divide each side by '-4'. w = -8 Simplifying w = -8
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