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Simplifying 3w + 6(w + 1) + -10 = 11w + -3(4 + -2w) Reorder the terms: 3w + 6(1 + w) + -10 = 11w + -3(4 + -2w) 3w + (1 * 6 + w * 6) + -10 = 11w + -3(4 + -2w) 3w + (6 + 6w) + -10 = 11w + -3(4 + -2w) Reorder the terms: 6 + -10 + 3w + 6w = 11w + -3(4 + -2w) Combine like terms: 6 + -10 = -4 -4 + 3w + 6w = 11w + -3(4 + -2w) Combine like terms: 3w + 6w = 9w -4 + 9w = 11w + -3(4 + -2w) -4 + 9w = 11w + (4 * -3 + -2w * -3) -4 + 9w = 11w + (-12 + 6w) Reorder the terms: -4 + 9w = -12 + 11w + 6w Combine like terms: 11w + 6w = 17w -4 + 9w = -12 + 17w Solving -4 + 9w = -12 + 17w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-17w' to each side of the equation. -4 + 9w + -17w = -12 + 17w + -17w Combine like terms: 9w + -17w = -8w -4 + -8w = -12 + 17w + -17w Combine like terms: 17w + -17w = 0 -4 + -8w = -12 + 0 -4 + -8w = -12 Add '4' to each side of the equation. -4 + 4 + -8w = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -8w = -12 + 4 -8w = -12 + 4 Combine like terms: -12 + 4 = -8 -8w = -8 Divide each side by '-8'. w = 1 Simplifying w = 1
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