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Simplifying 5(h + 7) + -3(5 + h) = -70 Reorder the terms: 5(7 + h) + -3(5 + h) = -70 (7 * 5 + h * 5) + -3(5 + h) = -70 (35 + 5h) + -3(5 + h) = -70 35 + 5h + (5 * -3 + h * -3) = -70 35 + 5h + (-15 + -3h) = -70 Reorder the terms: 35 + -15 + 5h + -3h = -70 Combine like terms: 35 + -15 = 20 20 + 5h + -3h = -70 Combine like terms: 5h + -3h = 2h 20 + 2h = -70 Solving 20 + 2h = -70 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + 2h = -70 + -20 Combine like terms: 20 + -20 = 0 0 + 2h = -70 + -20 2h = -70 + -20 Combine like terms: -70 + -20 = -90 2h = -90 Divide each side by '2'. h = -45 Simplifying h = -45
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