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Simplifying 47 = 1.5w + -1(-8) Multiply -1 * -8 47 = 1.5w + 8 Reorder the terms: 47 = 8 + 1.5w Solving 47 = 8 + 1.5w Solving for variable 'w'. Move all terms containing w to the left, all other terms to the right. Add '-1.5w' to each side of the equation. 47 + -1.5w = 8 + 1.5w + -1.5w Combine like terms: 1.5w + -1.5w = 0.0 47 + -1.5w = 8 + 0.0 47 + -1.5w = 8 Add '-47' to each side of the equation. 47 + -47 + -1.5w = 8 + -47 Combine like terms: 47 + -47 = 0 0 + -1.5w = 8 + -47 -1.5w = 8 + -47 Combine like terms: 8 + -47 = -39 -1.5w = -39 Divide each side by '-1.5'. w = 26 Simplifying w = 26
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