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Simplifying -18 + -1w + 2(w + -6) = 0.5(12 + -2w) Reorder the terms: -18 + -1w + 2(-6 + w) = 0.5(12 + -2w) -18 + -1w + (-6 * 2 + w * 2) = 0.5(12 + -2w) -18 + -1w + (-12 + 2w) = 0.5(12 + -2w) Reorder the terms: -18 + -12 + -1w + 2w = 0.5(12 + -2w) Combine like terms: -18 + -12 = -30 -30 + -1w + 2w = 0.5(12 + -2w) Combine like terms: -1w + 2w = 1w -30 + 1w = 0.5(12 + -2w) -30 + 1w = (12 * 0.5 + -2w * 0.5) -30 + 1w = (6 + -1w) Solving -30 + 1w = 6 + -1w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add 'w' to each side of the equation. -30 + 1w + w = 6 + -1w + w Combine like terms: 1w + w = 2w -30 + 2w = 6 + -1w + w Combine like terms: -1w + w = 0 -30 + 2w = 6 + 0 -30 + 2w = 6 Add '30' to each side of the equation. -30 + 30 + 2w = 6 + 30 Combine like terms: -30 + 30 = 0 0 + 2w = 6 + 30 2w = 6 + 30 Combine like terms: 6 + 30 = 36 2w = 36 Divide each side by '2'. w = 18 Simplifying w = 18
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