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Simplifying -9(h + -2) = -8(h + 8) Reorder the terms: -9(-2 + h) = -8(h + 8) (-2 * -9 + h * -9) = -8(h + 8) (18 + -9h) = -8(h + 8) Reorder the terms: 18 + -9h = -8(8 + h) 18 + -9h = (8 * -8 + h * -8) 18 + -9h = (-64 + -8h) Solving 18 + -9h = -64 + -8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '8h' to each side of the equation. 18 + -9h + 8h = -64 + -8h + 8h Combine like terms: -9h + 8h = -1h 18 + -1h = -64 + -8h + 8h Combine like terms: -8h + 8h = 0 18 + -1h = -64 + 0 18 + -1h = -64 Add '-18' to each side of the equation. 18 + -18 + -1h = -64 + -18 Combine like terms: 18 + -18 = 0 0 + -1h = -64 + -18 -1h = -64 + -18 Combine like terms: -64 + -18 = -82 -1h = -82 Divide each side by '-1'. h = 82 Simplifying h = 82
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