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Simplifying 48 = 0.5h(7 + 5) Combine like terms: 7 + 5 = 12 48 = 0.5h(12) Reorder the terms for easier multiplication: 48 = 0.5 * 12h Multiply 0.5 * 12 48 = 6h Solving 48 = 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. 48 + -6h = 6h + -6h Combine like terms: 6h + -6h = 0 48 + -6h = 0 Add '-48' to each side of the equation. 48 + -48 + -6h = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -6h = 0 + -48 -6h = 0 + -48 Combine like terms: 0 + -48 = -48 -6h = -48 Divide each side by '-6'. h = 8 Simplifying h = 8
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