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Simplifying 9(2h + -2) + -4 = 8(3h + -4) + -7 Reorder the terms: 9(-2 + 2h) + -4 = 8(3h + -4) + -7 (-2 * 9 + 2h * 9) + -4 = 8(3h + -4) + -7 (-18 + 18h) + -4 = 8(3h + -4) + -7 Reorder the terms: -18 + -4 + 18h = 8(3h + -4) + -7 Combine like terms: -18 + -4 = -22 -22 + 18h = 8(3h + -4) + -7 Reorder the terms: -22 + 18h = 8(-4 + 3h) + -7 -22 + 18h = (-4 * 8 + 3h * 8) + -7 -22 + 18h = (-32 + 24h) + -7 Reorder the terms: -22 + 18h = -32 + -7 + 24h Combine like terms: -32 + -7 = -39 -22 + 18h = -39 + 24h Solving -22 + 18h = -39 + 24h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-24h' to each side of the equation. -22 + 18h + -24h = -39 + 24h + -24h Combine like terms: 18h + -24h = -6h -22 + -6h = -39 + 24h + -24h Combine like terms: 24h + -24h = 0 -22 + -6h = -39 + 0 -22 + -6h = -39 Add '22' to each side of the equation. -22 + 22 + -6h = -39 + 22 Combine like terms: -22 + 22 = 0 0 + -6h = -39 + 22 -6h = -39 + 22 Combine like terms: -39 + 22 = -17 -6h = -17 Divide each side by '-6'. h = 2.833333333 Simplifying h = 2.833333333
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