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Simplifying -7h + 7(8h + 6 + -9h) + 7 = 100 Reorder the terms: -7h + 7(6 + 8h + -9h) + 7 = 100 Combine like terms: 8h + -9h = -1h -7h + 7(6 + -1h) + 7 = 100 -7h + (6 * 7 + -1h * 7) + 7 = 100 -7h + (42 + -7h) + 7 = 100 Reorder the terms: 42 + 7 + -7h + -7h = 100 Combine like terms: 42 + 7 = 49 49 + -7h + -7h = 100 Combine like terms: -7h + -7h = -14h 49 + -14h = 100 Solving 49 + -14h = 100 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + -14h = 100 + -49 Combine like terms: 49 + -49 = 0 0 + -14h = 100 + -49 -14h = 100 + -49 Combine like terms: 100 + -49 = 51 -14h = 51 Divide each side by '-14'. h = -3.642857143 Simplifying h = -3.642857143
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