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Simplifying 5(h + -2) = 3(h + -1) Reorder the terms: 5(-2 + h) = 3(h + -1) (-2 * 5 + h * 5) = 3(h + -1) (-10 + 5h) = 3(h + -1) Reorder the terms: -10 + 5h = 3(-1 + h) -10 + 5h = (-1 * 3 + h * 3) -10 + 5h = (-3 + 3h) Solving -10 + 5h = -3 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. -10 + 5h + -3h = -3 + 3h + -3h Combine like terms: 5h + -3h = 2h -10 + 2h = -3 + 3h + -3h Combine like terms: 3h + -3h = 0 -10 + 2h = -3 + 0 -10 + 2h = -3 Add '10' to each side of the equation. -10 + 10 + 2h = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 2h = -3 + 10 2h = -3 + 10 Combine like terms: -3 + 10 = 7 2h = 7 Divide each side by '2'. h = 3.5 Simplifying h = 3.5
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