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Simplifying 32 = -9 + 3(h + 4) Reorder the terms: 32 = -9 + 3(4 + h) 32 = -9 + (4 * 3 + h * 3) 32 = -9 + (12 + 3h) Combine like terms: -9 + 12 = 3 32 = 3 + 3h Solving 32 = 3 + 3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3h' to each side of the equation. 32 + -3h = 3 + 3h + -3h Combine like terms: 3h + -3h = 0 32 + -3h = 3 + 0 32 + -3h = 3 Add '-32' to each side of the equation. 32 + -32 + -3h = 3 + -32 Combine like terms: 32 + -32 = 0 0 + -3h = 3 + -32 -3h = 3 + -32 Combine like terms: 3 + -32 = -29 -3h = -29 Divide each side by '-3'. h = 9.666666667 Simplifying h = 9.666666667
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