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Simplifying 270 = 0.5h(18 + 27) Combine like terms: 18 + 27 = 45 270 = 0.5h(45) Reorder the terms for easier multiplication: 270 = 0.5 * 45h Multiply 0.5 * 45 270 = 22.5h Solving 270 = 22.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-22.5h' to each side of the equation. 270 + -22.5h = 22.5h + -22.5h Combine like terms: 22.5h + -22.5h = 0.0 270 + -22.5h = 0.0 Add '-270' to each side of the equation. 270 + -270 + -22.5h = 0.0 + -270 Combine like terms: 270 + -270 = 0 0 + -22.5h = 0.0 + -270 -22.5h = 0.0 + -270 Combine like terms: 0.0 + -270 = -270 -22.5h = -270 Divide each side by '-22.5'. h = 12 Simplifying h = 12
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