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Simplifying 7(2 + -5h) = 4(3h + -2) + -6(8 + 9h) (2 * 7 + -5h * 7) = 4(3h + -2) + -6(8 + 9h) (14 + -35h) = 4(3h + -2) + -6(8 + 9h) Reorder the terms: 14 + -35h = 4(-2 + 3h) + -6(8 + 9h) 14 + -35h = (-2 * 4 + 3h * 4) + -6(8 + 9h) 14 + -35h = (-8 + 12h) + -6(8 + 9h) 14 + -35h = -8 + 12h + (8 * -6 + 9h * -6) 14 + -35h = -8 + 12h + (-48 + -54h) Reorder the terms: 14 + -35h = -8 + -48 + 12h + -54h Combine like terms: -8 + -48 = -56 14 + -35h = -56 + 12h + -54h Combine like terms: 12h + -54h = -42h 14 + -35h = -56 + -42h Solving 14 + -35h = -56 + -42h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '42h' to each side of the equation. 14 + -35h + 42h = -56 + -42h + 42h Combine like terms: -35h + 42h = 7h 14 + 7h = -56 + -42h + 42h Combine like terms: -42h + 42h = 0 14 + 7h = -56 + 0 14 + 7h = -56 Add '-14' to each side of the equation. 14 + -14 + 7h = -56 + -14 Combine like terms: 14 + -14 = 0 0 + 7h = -56 + -14 7h = -56 + -14 Combine like terms: -56 + -14 = -70 7h = -70 Divide each side by '7'. h = -10 Simplifying h = -10
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