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Simplifying 4(2h + 1) = 26 + -1(h + -5) Reorder the terms: 4(1 + 2h) = 26 + -1(h + -5) (1 * 4 + 2h * 4) = 26 + -1(h + -5) (4 + 8h) = 26 + -1(h + -5) Reorder the terms: 4 + 8h = 26 + -1(-5 + h) 4 + 8h = 26 + (-5 * -1 + h * -1) 4 + 8h = 26 + (5 + -1h) Combine like terms: 26 + 5 = 31 4 + 8h = 31 + -1h Solving 4 + 8h = 31 + -1h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add 'h' to each side of the equation. 4 + 8h + h = 31 + -1h + h Combine like terms: 8h + h = 9h 4 + 9h = 31 + -1h + h Combine like terms: -1h + h = 0 4 + 9h = 31 + 0 4 + 9h = 31 Add '-4' to each side of the equation. 4 + -4 + 9h = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 9h = 31 + -4 9h = 31 + -4 Combine like terms: 31 + -4 = 27 9h = 27 Divide each side by '9'. h = 3 Simplifying h = 3
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