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Simplifying 2(w + -6) = 6w + 24 Reorder the terms: 2(-6 + w) = 6w + 24 (-6 * 2 + w * 2) = 6w + 24 (-12 + 2w) = 6w + 24 Reorder the terms: -12 + 2w = 24 + 6w Solving -12 + 2w = 24 + 6w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-6w' to each side of the equation. -12 + 2w + -6w = 24 + 6w + -6w Combine like terms: 2w + -6w = -4w -12 + -4w = 24 + 6w + -6w Combine like terms: 6w + -6w = 0 -12 + -4w = 24 + 0 -12 + -4w = 24 Add '12' to each side of the equation. -12 + 12 + -4w = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -4w = 24 + 12 -4w = 24 + 12 Combine like terms: 24 + 12 = 36 -4w = 36 Divide each side by '-4'. w = -9 Simplifying w = -9
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