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Simplifying 155 = 4(6w + -9) Reorder the terms: 155 = 4(-9 + 6w) 155 = (-9 * 4 + 6w * 4) 155 = (-36 + 24w) Solving 155 = -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. 155 + -24w = -36 + 24w + -24w Combine like terms: 24w + -24w = 0 155 + -24w = -36 + 0 155 + -24w = -36 Add '-155' to each side of the equation. 155 + -155 + -24w = -36 + -155 Combine like terms: 155 + -155 = 0 0 + -24w = -36 + -155 -24w = -36 + -155 Combine like terms: -36 + -155 = -191 -24w = -191 Divide each side by '-24'. w = 7.958333333 Simplifying w = 7.958333333
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