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Simplifying 7(2h + 1) = 13 + -1(8h + -3) + 13h Reorder the terms: 7(1 + 2h) = 13 + -1(8h + -3) + 13h (1 * 7 + 2h * 7) = 13 + -1(8h + -3) + 13h (7 + 14h) = 13 + -1(8h + -3) + 13h Reorder the terms: 7 + 14h = 13 + -1(-3 + 8h) + 13h 7 + 14h = 13 + (-3 * -1 + 8h * -1) + 13h 7 + 14h = 13 + (3 + -8h) + 13h Combine like terms: 13 + 3 = 16 7 + 14h = 16 + -8h + 13h Combine like terms: -8h + 13h = 5h 7 + 14h = 16 + 5h Solving 7 + 14h = 16 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. 7 + 14h + -5h = 16 + 5h + -5h Combine like terms: 14h + -5h = 9h 7 + 9h = 16 + 5h + -5h Combine like terms: 5h + -5h = 0 7 + 9h = 16 + 0 7 + 9h = 16 Add '-7' to each side of the equation. 7 + -7 + 9h = 16 + -7 Combine like terms: 7 + -7 = 0 0 + 9h = 16 + -7 9h = 16 + -7 Combine like terms: 16 + -7 = 9 9h = 9 Divide each side by '9'. h = 1 Simplifying h = 1
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