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Simplifying 78 = 0.5h(10 + 3) Combine like terms: 10 + 3 = 13 78 = 0.5h(13) Reorder the terms for easier multiplication: 78 = 0.5 * 13h Multiply 0.5 * 13 78 = 6.5h Solving 78 = 6.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6.5h' to each side of the equation. 78 + -6.5h = 6.5h + -6.5h Combine like terms: 6.5h + -6.5h = 0.0 78 + -6.5h = 0.0 Add '-78' to each side of the equation. 78 + -78 + -6.5h = 0.0 + -78 Combine like terms: 78 + -78 = 0 0 + -6.5h = 0.0 + -78 -6.5h = 0.0 + -78 Combine like terms: 0.0 + -78 = -78 -6.5h = -78 Divide each side by '-6.5'. h = 12 Simplifying h = 12
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