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Simplifying 4(3w + 0.5) + -11w = -9w + 2(w + -0.75) Reorder the terms: 4(0.5 + 3w) + -11w = -9w + 2(w + -0.75) (0.5 * 4 + 3w * 4) + -11w = -9w + 2(w + -0.75) (2 + 12w) + -11w = -9w + 2(w + -0.75) Combine like terms: 12w + -11w = 1w 2 + 1w = -9w + 2(w + -0.75) Reorder the terms: 2 + 1w = -9w + 2(-0.75 + w) 2 + 1w = -9w + (-0.75 * 2 + w * 2) 2 + 1w = -9w + (-1.5 + 2w) Reorder the terms: 2 + 1w = -1.5 + -9w + 2w Combine like terms: -9w + 2w = -7w 2 + 1w = -1.5 + -7w Solving 2 + 1w = -1.5 + -7w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '7w' to each side of the equation. 2 + 1w + 7w = -1.5 + -7w + 7w Combine like terms: 1w + 7w = 8w 2 + 8w = -1.5 + -7w + 7w Combine like terms: -7w + 7w = 0 2 + 8w = -1.5 + 0 2 + 8w = -1.5 Add '-2' to each side of the equation. 2 + -2 + 8w = -1.5 + -2 Combine like terms: 2 + -2 = 0 0 + 8w = -1.5 + -2 8w = -1.5 + -2 Combine like terms: -1.5 + -2 = -3.5 8w = -3.5 Divide each side by '8'. w = -0.4375 Simplifying w = -0.4375
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