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Simplifying 2h + 5(3h + -7) = 7(2h + -5) Reorder the terms: 2h + 5(-7 + 3h) = 7(2h + -5) 2h + (-7 * 5 + 3h * 5) = 7(2h + -5) 2h + (-35 + 15h) = 7(2h + -5) Reorder the terms: -35 + 2h + 15h = 7(2h + -5) Combine like terms: 2h + 15h = 17h -35 + 17h = 7(2h + -5) Reorder the terms: -35 + 17h = 7(-5 + 2h) -35 + 17h = (-5 * 7 + 2h * 7) -35 + 17h = (-35 + 14h) Add '35' to each side of the equation. -35 + 35 + 17h = -35 + 35 + 14h Combine like terms: -35 + 35 = 0 0 + 17h = -35 + 35 + 14h 17h = -35 + 35 + 14h Combine like terms: -35 + 35 = 0 17h = 0 + 14h 17h = 14h Solving 17h = 14h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-14h' to each side of the equation. 17h + -14h = 14h + -14h Combine like terms: 17h + -14h = 3h 3h = 14h + -14h Combine like terms: 14h + -14h = 0 3h = 0 Divide each side by '3'. h = 0 Simplifying h = 0
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