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Simplifying 3(1 + 4h) + -2(5n + -3) = 25 (1 * 3 + 4h * 3) + -2(5n + -3) = 25 (3 + 12h) + -2(5n + -3) = 25 Reorder the terms: 3 + 12h + -2(-3 + 5n) = 25 3 + 12h + (-3 * -2 + 5n * -2) = 25 3 + 12h + (6 + -10n) = 25 Reorder the terms: 3 + 6 + 12h + -10n = 25 Combine like terms: 3 + 6 = 9 9 + 12h + -10n = 25 Solving 9 + 12h + -10n = 25 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 12h + -9 + -10n = 25 + -9 Reorder the terms: 9 + -9 + 12h + -10n = 25 + -9 Combine like terms: 9 + -9 = 0 0 + 12h + -10n = 25 + -9 12h + -10n = 25 + -9 Combine like terms: 25 + -9 = 16 12h + -10n = 16 Add '10n' to each side of the equation. 12h + -10n + 10n = 16 + 10n Combine like terms: -10n + 10n = 0 12h + 0 = 16 + 10n 12h = 16 + 10n Divide each side by '12'. h = 1.333333333 + 0.8333333333n Simplifying h = 1.333333333 + 0.8333333333n
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