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Simplifying 7(h + 5) + -10(2h + -2) = -49 Reorder the terms: 7(5 + h) + -10(2h + -2) = -49 (5 * 7 + h * 7) + -10(2h + -2) = -49 (35 + 7h) + -10(2h + -2) = -49 Reorder the terms: 35 + 7h + -10(-2 + 2h) = -49 35 + 7h + (-2 * -10 + 2h * -10) = -49 35 + 7h + (20 + -20h) = -49 Reorder the terms: 35 + 20 + 7h + -20h = -49 Combine like terms: 35 + 20 = 55 55 + 7h + -20h = -49 Combine like terms: 7h + -20h = -13h 55 + -13h = -49 Solving 55 + -13h = -49 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-55' to each side of the equation. 55 + -55 + -13h = -49 + -55 Combine like terms: 55 + -55 = 0 0 + -13h = -49 + -55 -13h = -49 + -55 Combine like terms: -49 + -55 = -104 -13h = -104 Divide each side by '-13'. h = 8 Simplifying h = 8
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