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Simplifying -2(5w + -3) + 8w = 9 + 2(5w + -6) Reorder the terms: -2(-3 + 5w) + 8w = 9 + 2(5w + -6) (-3 * -2 + 5w * -2) + 8w = 9 + 2(5w + -6) (6 + -10w) + 8w = 9 + 2(5w + -6) Combine like terms: -10w + 8w = -2w 6 + -2w = 9 + 2(5w + -6) Reorder the terms: 6 + -2w = 9 + 2(-6 + 5w) 6 + -2w = 9 + (-6 * 2 + 5w * 2) 6 + -2w = 9 + (-12 + 10w) Combine like terms: 9 + -12 = -3 6 + -2w = -3 + 10w Solving 6 + -2w = -3 + 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. 6 + -2w + -10w = -3 + 10w + -10w Combine like terms: -2w + -10w = -12w 6 + -12w = -3 + 10w + -10w Combine like terms: 10w + -10w = 0 6 + -12w = -3 + 0 6 + -12w = -3 Add '-6' to each side of the equation. 6 + -6 + -12w = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -12w = -3 + -6 -12w = -3 + -6 Combine like terms: -3 + -6 = -9 -12w = -9 Divide each side by '-12'. w = 0.75 Simplifying w = 0.75
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