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Simplifying 6(w + -6) = -6w + 48 Reorder the terms: 6(-6 + w) = -6w + 48 (-6 * 6 + w * 6) = -6w + 48 (-36 + 6w) = -6w + 48 Reorder the terms: -36 + 6w = 48 + -6w Solving -36 + 6w = 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. -36 + 6w + 6w = 48 + -6w + 6w Combine like terms: 6w + 6w = 12w -36 + 12w = 48 + -6w + 6w Combine like terms: -6w + 6w = 0 -36 + 12w = 48 + 0 -36 + 12w = 48 Add '36' to each side of the equation. -36 + 36 + 12w = 48 + 36 Combine like terms: -36 + 36 = 0 0 + 12w = 48 + 36 12w = 48 + 36 Combine like terms: 48 + 36 = 84 12w = 84 Divide each side by '12'. w = 7 Simplifying w = 7
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