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Simplifying 0 = -6(h + 3) + -8(h + -7) Reorder the terms: 0 = -6(3 + h) + -8(h + -7) 0 = (3 * -6 + h * -6) + -8(h + -7) 0 = (-18 + -6h) + -8(h + -7) Reorder the terms: 0 = -18 + -6h + -8(-7 + h) 0 = -18 + -6h + (-7 * -8 + h * -8) 0 = -18 + -6h + (56 + -8h) Reorder the terms: 0 = -18 + 56 + -6h + -8h Combine like terms: -18 + 56 = 38 0 = 38 + -6h + -8h Combine like terms: -6h + -8h = -14h 0 = 38 + -14h Solving 0 = 38 + -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. 0 + 14h = 38 + -14h + 14h Remove the zero: 14h = 38 + -14h + 14h Combine like terms: -14h + 14h = 0 14h = 38 + 0 14h = 38 Divide each side by '14'. h = 2.714285714 Simplifying h = 2.714285714
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