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Simplifying -6 + -9(3w + 20) = 3(-12w + -5) Reorder the terms: -6 + -9(20 + 3w) = 3(-12w + -5) -6 + (20 * -9 + 3w * -9) = 3(-12w + -5) -6 + (-180 + -27w) = 3(-12w + -5) Combine like terms: -6 + -180 = -186 -186 + -27w = 3(-12w + -5) Reorder the terms: -186 + -27w = 3(-5 + -12w) -186 + -27w = (-5 * 3 + -12w * 3) -186 + -27w = (-15 + -36w) Solving -186 + -27w = -15 + -36w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '36w' to each side of the equation. -186 + -27w + 36w = -15 + -36w + 36w Combine like terms: -27w + 36w = 9w -186 + 9w = -15 + -36w + 36w Combine like terms: -36w + 36w = 0 -186 + 9w = -15 + 0 -186 + 9w = -15 Add '186' to each side of the equation. -186 + 186 + 9w = -15 + 186 Combine like terms: -186 + 186 = 0 0 + 9w = -15 + 186 9w = -15 + 186 Combine like terms: -15 + 186 = 171 9w = 171 Divide each side by '9'. w = 19 Simplifying w = 19
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