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Simplifying 7(9h + -6) = 24 + -3h Reorder the terms: 7(-6 + 9h) = 24 + -3h (-6 * 7 + 9h * 7) = 24 + -3h (-42 + 63h) = 24 + -3h Solving -42 + 63h = 24 + -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. -42 + 63h + 3h = 24 + -3h + 3h Combine like terms: 63h + 3h = 66h -42 + 66h = 24 + -3h + 3h Combine like terms: -3h + 3h = 0 -42 + 66h = 24 + 0 -42 + 66h = 24 Add '42' to each side of the equation. -42 + 42 + 66h = 24 + 42 Combine like terms: -42 + 42 = 0 0 + 66h = 24 + 42 66h = 24 + 42 Combine like terms: 24 + 42 = 66 66h = 66 Divide each side by '66'. h = 1 Simplifying h = 1
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