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