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Simplifying 156 = 4(6w + -9) Reorder the terms: 156 = 4(-9 + 6w) 156 = (-9 * 4 + 6w * 4) 156 = (-36 + 24w) Solving 156 = -36 + 24w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-24w' to each side of the equation. 156 + -24w = -36 + 24w + -24w Combine like terms: 24w + -24w = 0 156 + -24w = -36 + 0 156 + -24w = -36 Add '-156' to each side of the equation. 156 + -156 + -24w = -36 + -156 Combine like terms: 156 + -156 = 0 0 + -24w = -36 + -156 -24w = -36 + -156 Combine like terms: -36 + -156 = -192 -24w = -192 Divide each side by '-24'. w = 8 Simplifying w = 8
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