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Simplifying -3(2w + -7) + -10 = 9 + -2(5w + 4) Reorder the terms: -3(-7 + 2w) + -10 = 9 + -2(5w + 4) (-7 * -3 + 2w * -3) + -10 = 9 + -2(5w + 4) (21 + -6w) + -10 = 9 + -2(5w + 4) Reorder the terms: 21 + -10 + -6w = 9 + -2(5w + 4) Combine like terms: 21 + -10 = 11 11 + -6w = 9 + -2(5w + 4) Reorder the terms: 11 + -6w = 9 + -2(4 + 5w) 11 + -6w = 9 + (4 * -2 + 5w * -2) 11 + -6w = 9 + (-8 + -10w) Combine like terms: 9 + -8 = 1 11 + -6w = 1 + -10w Solving 11 + -6w = 1 + -10w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '10w' to each side of the equation. 11 + -6w + 10w = 1 + -10w + 10w Combine like terms: -6w + 10w = 4w 11 + 4w = 1 + -10w + 10w Combine like terms: -10w + 10w = 0 11 + 4w = 1 + 0 11 + 4w = 1 Add '-11' to each side of the equation. 11 + -11 + 4w = 1 + -11 Combine like terms: 11 + -11 = 0 0 + 4w = 1 + -11 4w = 1 + -11 Combine like terms: 1 + -11 = -10 4w = -10 Divide each side by '4'. w = -2.5 Simplifying w = -2.5
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