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Simplifying 4(5n + 7) + -3h = 3(4h + -9) Reorder the terms: 4(7 + 5n) + -3h = 3(4h + -9) (7 * 4 + 5n * 4) + -3h = 3(4h + -9) (28 + 20n) + -3h = 3(4h + -9) Reorder the terms: 28 + -3h + 20n = 3(4h + -9) Reorder the terms: 28 + -3h + 20n = 3(-9 + 4h) 28 + -3h + 20n = (-9 * 3 + 4h * 3) 28 + -3h + 20n = (-27 + 12h) Solving 28 + -3h + 20n = -27 + 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. 28 + -3h + -12h + 20n = -27 + 12h + -12h Combine like terms: -3h + -12h = -15h 28 + -15h + 20n = -27 + 12h + -12h Combine like terms: 12h + -12h = 0 28 + -15h + 20n = -27 + 0 28 + -15h + 20n = -27 Add '-28' to each side of the equation. 28 + -15h + -28 + 20n = -27 + -28 Reorder the terms: 28 + -28 + -15h + 20n = -27 + -28 Combine like terms: 28 + -28 = 0 0 + -15h + 20n = -27 + -28 -15h + 20n = -27 + -28 Combine like terms: -27 + -28 = -55 -15h + 20n = -55 Add '-20n' to each side of the equation. -15h + 20n + -20n = -55 + -20n Combine like terms: 20n + -20n = 0 -15h + 0 = -55 + -20n -15h = -55 + -20n Divide each side by '-15'. h = 3.666666667 + 1.333333333n Simplifying h = 3.666666667 + 1.333333333n
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