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Simplifying 6(w + -8) = -2w + -24 Reorder the terms: 6(-8 + w) = -2w + -24 (-8 * 6 + w * 6) = -2w + -24 (-48 + 6w) = -2w + -24 Reorder the terms: -48 + 6w = -24 + -2w Solving -48 + 6w = -24 + -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 = -24 + -2w + 2w Combine like terms: 6w + 2w = 8w -48 + 8w = -24 + -2w + 2w Combine like terms: -2w + 2w = 0 -48 + 8w = -24 + 0 -48 + 8w = -24 Add '48' to each side of the equation. -48 + 48 + 8w = -24 + 48 Combine like terms: -48 + 48 = 0 0 + 8w = -24 + 48 8w = -24 + 48 Combine like terms: -24 + 48 = 24 8w = 24 Divide each side by '8'. w = 3 Simplifying w = 3
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