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Simplifying 45 = 0.5h(10 + 5) Combine like terms: 10 + 5 = 15 45 = 0.5h(15) Reorder the terms for easier multiplication: 45 = 0.5 * 15h Multiply 0.5 * 15 45 = 7.5h Solving 45 = 7.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7.5h' to each side of the equation. 45 + -7.5h = 7.5h + -7.5h Combine like terms: 7.5h + -7.5h = 0.0 45 + -7.5h = 0.0 Add '-45' to each side of the equation. 45 + -45 + -7.5h = 0.0 + -45 Combine like terms: 45 + -45 = 0 0 + -7.5h = 0.0 + -45 -7.5h = 0.0 + -45 Combine like terms: 0.0 + -45 = -45 -7.5h = -45 Divide each side by '-7.5'. h = 6 Simplifying h = 6
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