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Simplifying (6h + 8) + -1(8n + 2) = 15 Reorder the terms: (8 + 6h) + -1(8n + 2) = 15 Remove parenthesis around (8 + 6h) 8 + 6h + -1(8n + 2) = 15 Reorder the terms: 8 + 6h + -1(2 + 8n) = 15 8 + 6h + (2 * -1 + 8n * -1) = 15 8 + 6h + (-2 + -8n) = 15 Reorder the terms: 8 + -2 + 6h + -8n = 15 Combine like terms: 8 + -2 = 6 6 + 6h + -8n = 15 Solving 6 + 6h + -8n = 15 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 6h + -6 + -8n = 15 + -6 Reorder the terms: 6 + -6 + 6h + -8n = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 6h + -8n = 15 + -6 6h + -8n = 15 + -6 Combine like terms: 15 + -6 = 9 6h + -8n = 9 Add '8n' to each side of the equation. 6h + -8n + 8n = 9 + 8n Combine like terms: -8n + 8n = 0 6h + 0 = 9 + 8n 6h = 9 + 8n Divide each side by '6'. h = 1.5 + 1.333333333n Simplifying h = 1.5 + 1.333333333n
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