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Simplifying 7 + -1(h + 2) = 5(h + -1) Reorder the terms: 7 + -1(2 + h) = 5(h + -1) 7 + (2 * -1 + h * -1) = 5(h + -1) 7 + (-2 + -1h) = 5(h + -1) Combine like terms: 7 + -2 = 5 5 + -1h = 5(h + -1) Reorder the terms: 5 + -1h = 5(-1 + h) 5 + -1h = (-1 * 5 + h * 5) 5 + -1h = (-5 + 5h) Solving 5 + -1h = -5 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 5 + -1h + -5h = -5 + 5h + -5h Combine like terms: -1h + -5h = -6h 5 + -6h = -5 + 5h + -5h Combine like terms: 5h + -5h = 0 5 + -6h = -5 + 0 5 + -6h = -5 Add '-5' to each side of the equation. 5 + -5 + -6h = -5 + -5 Combine like terms: 5 + -5 = 0 0 + -6h = -5 + -5 -6h = -5 + -5 Combine like terms: -5 + -5 = -10 -6h = -10 Divide each side by '-6'. h = 1.666666667 Simplifying h = 1.666666667
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