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Simplifying 156 = 5(6w + -9) Reorder the terms: 156 = 5(-9 + 6w) 156 = (-9 * 5 + 6w * 5) 156 = (-45 + 30w) Solving 156 = -45 + 30w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-30w' to each side of the equation. 156 + -30w = -45 + 30w + -30w Combine like terms: 30w + -30w = 0 156 + -30w = -45 + 0 156 + -30w = -45 Add '-156' to each side of the equation. 156 + -156 + -30w = -45 + -156 Combine like terms: 156 + -156 = 0 0 + -30w = -45 + -156 -30w = -45 + -156 Combine like terms: -45 + -156 = -201 -30w = -201 Divide each side by '-30'. w = 6.7 Simplifying w = 6.7
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