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Simplifying -6(h + 3) + -8(h + -7) = 0 Reorder the terms: -6(3 + h) + -8(h + -7) = 0 (3 * -6 + h * -6) + -8(h + -7) = 0 (-18 + -6h) + -8(h + -7) = 0 Reorder the terms: -18 + -6h + -8(-7 + h) = 0 -18 + -6h + (-7 * -8 + h * -8) = 0 -18 + -6h + (56 + -8h) = 0 Reorder the terms: -18 + 56 + -6h + -8h = 0 Combine like terms: -18 + 56 = 38 38 + -6h + -8h = 0 Combine like terms: -6h + -8h = -14h 38 + -14h = 0 Solving 38 + -14h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-38' to each side of the equation. 38 + -38 + -14h = 0 + -38 Combine like terms: 38 + -38 = 0 0 + -14h = 0 + -38 -14h = 0 + -38 Combine like terms: 0 + -38 = -38 -14h = -38 Divide each side by '-14'. h = 2.714285714 Simplifying h = 2.714285714
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