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Simplifying 7 + -1(4h + 9) = 5h + 2 Reorder the terms: 7 + -1(9 + 4h) = 5h + 2 7 + (9 * -1 + 4h * -1) = 5h + 2 7 + (-9 + -4h) = 5h + 2 Combine like terms: 7 + -9 = -2 -2 + -4h = 5h + 2 Reorder the terms: -2 + -4h = 2 + 5h Solving -2 + -4h = 2 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. -2 + -4h + -5h = 2 + 5h + -5h Combine like terms: -4h + -5h = -9h -2 + -9h = 2 + 5h + -5h Combine like terms: 5h + -5h = 0 -2 + -9h = 2 + 0 -2 + -9h = 2 Add '2' to each side of the equation. -2 + 2 + -9h = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -9h = 2 + 2 -9h = 2 + 2 Combine like terms: 2 + 2 = 4 -9h = 4 Divide each side by '-9'. h = -0.4444444444 Simplifying h = -0.4444444444
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