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Simplifying -6(w + 5) = -3w + -6 Reorder the terms: -6(5 + w) = -3w + -6 (5 * -6 + w * -6) = -3w + -6 (-30 + -6w) = -3w + -6 Reorder the terms: -30 + -6w = -6 + -3w Solving -30 + -6w = -6 + -3w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '3w' to each side of the equation. -30 + -6w + 3w = -6 + -3w + 3w Combine like terms: -6w + 3w = -3w -30 + -3w = -6 + -3w + 3w Combine like terms: -3w + 3w = 0 -30 + -3w = -6 + 0 -30 + -3w = -6 Add '30' to each side of the equation. -30 + 30 + -3w = -6 + 30 Combine like terms: -30 + 30 = 0 0 + -3w = -6 + 30 -3w = -6 + 30 Combine like terms: -6 + 30 = 24 -3w = 24 Divide each side by '-3'. w = -8 Simplifying w = -8
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