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Simplifying (h + -8) + -1(h + -10) + -1(2h + 7) = 0 Reorder the terms: (-8 + h) + -1(h + -10) + -1(2h + 7) = 0 Remove parenthesis around (-8 + h) -8 + h + -1(h + -10) + -1(2h + 7) = 0 Reorder the terms: -8 + h + -1(-10 + h) + -1(2h + 7) = 0 -8 + h + (-10 * -1 + h * -1) + -1(2h + 7) = 0 -8 + h + (10 + -1h) + -1(2h + 7) = 0 Reorder the terms: -8 + h + 10 + -1h + -1(7 + 2h) = 0 -8 + h + 10 + -1h + (7 * -1 + 2h * -1) = 0 -8 + h + 10 + -1h + (-7 + -2h) = 0 Reorder the terms: -8 + 10 + -7 + h + -1h + -2h = 0 Combine like terms: -8 + 10 = 2 2 + -7 + h + -1h + -2h = 0 Combine like terms: 2 + -7 = -5 -5 + h + -1h + -2h = 0 Combine like terms: h + -1h = 0 -5 + 0 + -2h = 0 -5 + -2h = 0 Solving -5 + -2h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2h = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2h = 0 + 5 -2h = 0 + 5 Combine like terms: 0 + 5 = 5 -2h = 5 Divide each side by '-2'. h = -2.5 Simplifying h = -2.5
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