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Simplifying 2(3w + -6) = 2w + -5 Reorder the terms: 2(-6 + 3w) = 2w + -5 (-6 * 2 + 3w * 2) = 2w + -5 (-12 + 6w) = 2w + -5 Reorder the terms: -12 + 6w = -5 + 2w Solving -12 + 6w = -5 + 2w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-2w' to each side of the equation. -12 + 6w + -2w = -5 + 2w + -2w Combine like terms: 6w + -2w = 4w -12 + 4w = -5 + 2w + -2w Combine like terms: 2w + -2w = 0 -12 + 4w = -5 + 0 -12 + 4w = -5 Add '12' to each side of the equation. -12 + 12 + 4w = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 4w = -5 + 12 4w = -5 + 12 Combine like terms: -5 + 12 = 7 4w = 7 Divide each side by '4'. w = 1.75 Simplifying w = 1.75
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