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Simplifying 7h + -4(n + 5) = 8h Reorder the terms: 7h + -4(5 + n) = 8h 7h + (5 * -4 + n * -4) = 8h 7h + (-20 + -4n) = 8h Reorder the terms: -20 + 7h + -4n = 8h Solving -20 + 7h + -4n = 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -20 + 7h + -8h + -4n = 8h + -8h Combine like terms: 7h + -8h = -1h -20 + -1h + -4n = 8h + -8h Combine like terms: 8h + -8h = 0 -20 + -1h + -4n = 0 Add '20' to each side of the equation. -20 + -1h + 20 + -4n = 0 + 20 Reorder the terms: -20 + 20 + -1h + -4n = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1h + -4n = 0 + 20 -1h + -4n = 0 + 20 Combine like terms: 0 + 20 = 20 -1h + -4n = 20 Add '4n' to each side of the equation. -1h + -4n + 4n = 20 + 4n Combine like terms: -4n + 4n = 0 -1h + 0 = 20 + 4n -1h = 20 + 4n Divide each side by '-1'. h = -20 + -4n Simplifying h = -20 + -4n
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