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Simplifying -2(1 + 7h) = 3(4h + 9) + 1 (1 * -2 + 7h * -2) = 3(4h + 9) + 1 (-2 + -14h) = 3(4h + 9) + 1 Reorder the terms: -2 + -14h = 3(9 + 4h) + 1 -2 + -14h = (9 * 3 + 4h * 3) + 1 -2 + -14h = (27 + 12h) + 1 Reorder the terms: -2 + -14h = 27 + 1 + 12h Combine like terms: 27 + 1 = 28 -2 + -14h = 28 + 12h Solving -2 + -14h = 28 + 12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. -2 + -14h + -12h = 28 + 12h + -12h Combine like terms: -14h + -12h = -26h -2 + -26h = 28 + 12h + -12h Combine like terms: 12h + -12h = 0 -2 + -26h = 28 + 0 -2 + -26h = 28 Add '2' to each side of the equation. -2 + 2 + -26h = 28 + 2 Combine like terms: -2 + 2 = 0 0 + -26h = 28 + 2 -26h = 28 + 2 Combine like terms: 28 + 2 = 30 -26h = 30 Divide each side by '-26'. h = -1.153846154 Simplifying h = -1.153846154
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