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Simplifying 6(w + 8) = -6w + 12 Reorder the terms: 6(8 + w) = -6w + 12 (8 * 6 + w * 6) = -6w + 12 (48 + 6w) = -6w + 12 Reorder the terms: 48 + 6w = 12 + -6w Solving 48 + 6w = 12 + -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. 48 + 6w + 6w = 12 + -6w + 6w Combine like terms: 6w + 6w = 12w 48 + 12w = 12 + -6w + 6w Combine like terms: -6w + 6w = 0 48 + 12w = 12 + 0 48 + 12w = 12 Add '-48' to each side of the equation. 48 + -48 + 12w = 12 + -48 Combine like terms: 48 + -48 = 0 0 + 12w = 12 + -48 12w = 12 + -48 Combine like terms: 12 + -48 = -36 12w = -36 Divide each side by '12'. w = -3 Simplifying w = -3
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