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Simplifying 5(h + 2) = 3(h + -7) Reorder the terms: 5(2 + h) = 3(h + -7) (2 * 5 + h * 5) = 3(h + -7) (10 + 5h) = 3(h + -7) Reorder the terms: 10 + 5h = 3(-7 + h) 10 + 5h = (-7 * 3 + h * 3) 10 + 5h = (-21 + 3h) Solving 10 + 5h = -21 + 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 = -21 + 3h + -3h Combine like terms: 5h + -3h = 2h 10 + 2h = -21 + 3h + -3h Combine like terms: 3h + -3h = 0 10 + 2h = -21 + 0 10 + 2h = -21 Add '-10' to each side of the equation. 10 + -10 + 2h = -21 + -10 Combine like terms: 10 + -10 = 0 0 + 2h = -21 + -10 2h = -21 + -10 Combine like terms: -21 + -10 = -31 2h = -31 Divide each side by '2'. h = -15.5 Simplifying h = -15.5
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