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Simplifying -32 = 9 + 6(h + -3) Reorder the terms: -32 = 9 + 6(-3 + h) -32 = 9 + (-3 * 6 + h * 6) -32 = 9 + (-18 + 6h) Combine like terms: 9 + -18 = -9 -32 = -9 + 6h Solving -32 = -9 + 6h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6h' to each side of the equation. -32 + -6h = -9 + 6h + -6h Combine like terms: 6h + -6h = 0 -32 + -6h = -9 + 0 -32 + -6h = -9 Add '32' to each side of the equation. -32 + 32 + -6h = -9 + 32 Combine like terms: -32 + 32 = 0 0 + -6h = -9 + 32 -6h = -9 + 32 Combine like terms: -9 + 32 = 23 -6h = 23 Divide each side by '-6'. h = -3.833333333 Simplifying h = -3.833333333
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