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Simplifying 4(h + -6) = 9h + -14 Reorder the terms: 4(-6 + h) = 9h + -14 (-6 * 4 + h * 4) = 9h + -14 (-24 + 4h) = 9h + -14 Reorder the terms: -24 + 4h = -14 + 9h Solving -24 + 4h = -14 + 9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9h' to each side of the equation. -24 + 4h + -9h = -14 + 9h + -9h Combine like terms: 4h + -9h = -5h -24 + -5h = -14 + 9h + -9h Combine like terms: 9h + -9h = 0 -24 + -5h = -14 + 0 -24 + -5h = -14 Add '24' to each side of the equation. -24 + 24 + -5h = -14 + 24 Combine like terms: -24 + 24 = 0 0 + -5h = -14 + 24 -5h = -14 + 24 Combine like terms: -14 + 24 = 10 -5h = 10 Divide each side by '-5'. h = -2 Simplifying h = -2
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