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Simplifying 6(w + -8) = 2w + -12 Reorder the terms: 6(-8 + w) = 2w + -12 (-8 * 6 + w * 6) = 2w + -12 (-48 + 6w) = 2w + -12 Reorder the terms: -48 + 6w = -12 + 2w Solving -48 + 6w = -12 + 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. -48 + 6w + -2w = -12 + 2w + -2w Combine like terms: 6w + -2w = 4w -48 + 4w = -12 + 2w + -2w Combine like terms: 2w + -2w = 0 -48 + 4w = -12 + 0 -48 + 4w = -12 Add '48' to each side of the equation. -48 + 48 + 4w = -12 + 48 Combine like terms: -48 + 48 = 0 0 + 4w = -12 + 48 4w = -12 + 48 Combine like terms: -12 + 48 = 36 4w = 36 Divide each side by '4'. w = 9 Simplifying w = 9
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