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Simplifying 5(0.5h + -3) = 4h Reorder the terms: 5(-3 + 0.5h) = 4h (-3 * 5 + 0.5h * 5) = 4h (-15 + 2.5h) = 4h Solving -15 + 2.5h = 4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-4h' to each side of the equation. -15 + 2.5h + -4h = 4h + -4h Combine like terms: 2.5h + -4h = -1.5h -15 + -1.5h = 4h + -4h Combine like terms: 4h + -4h = 0 -15 + -1.5h = 0 Add '15' to each side of the equation. -15 + 15 + -1.5h = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1.5h = 0 + 15 -1.5h = 0 + 15 Combine like terms: 0 + 15 = 15 -1.5h = 15 Divide each side by '-1.5'. h = -10 Simplifying h = -10
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