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Simplifying 6h + -1(5h + -7) = 13 + -5 Reorder the terms: 6h + -1(-7 + 5h) = 13 + -5 6h + (-7 * -1 + 5h * -1) = 13 + -5 6h + (7 + -5h) = 13 + -5 Reorder the terms: 7 + 6h + -5h = 13 + -5 Combine like terms: 6h + -5h = 1h 7 + 1h = 13 + -5 Combine like terms: 13 + -5 = 8 7 + 1h = 8 Solving 7 + 1h = 8 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 1h = 8 + -7 Combine like terms: 7 + -7 = 0 0 + 1h = 8 + -7 1h = 8 + -7 Combine like terms: 8 + -7 = 1 1h = 1 Divide each side by '1'. h = 1 Simplifying h = 1
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