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Simplifying 8 = 3(1.5w + -12) + 8 Reorder the terms: 8 = 3(-12 + 1.5w) + 8 8 = (-12 * 3 + 1.5w * 3) + 8 8 = (-36 + 4.5w) + 8 Reorder the terms: 8 = -36 + 8 + 4.5w Combine like terms: -36 + 8 = -28 8 = -28 + 4.5w Solving 8 = -28 + 4.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-4.5w' to each side of the equation. 8 + -4.5w = -28 + 4.5w + -4.5w Combine like terms: 4.5w + -4.5w = 0.0 8 + -4.5w = -28 + 0.0 8 + -4.5w = -28 Add '-8' to each side of the equation. 8 + -8 + -4.5w = -28 + -8 Combine like terms: 8 + -8 = 0 0 + -4.5w = -28 + -8 -4.5w = -28 + -8 Combine like terms: -28 + -8 = -36 -4.5w = -36 Divide each side by '-4.5'. w = 8 Simplifying w = 8
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