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Simplifying 4h + -1(6h + 2) = 13 + -5h Reorder the terms: 4h + -1(2 + 6h) = 13 + -5h 4h + (2 * -1 + 6h * -1) = 13 + -5h 4h + (-2 + -6h) = 13 + -5h Reorder the terms: -2 + 4h + -6h = 13 + -5h Combine like terms: 4h + -6h = -2h -2 + -2h = 13 + -5h Solving -2 + -2h = 13 + -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. -2 + -2h + 5h = 13 + -5h + 5h Combine like terms: -2h + 5h = 3h -2 + 3h = 13 + -5h + 5h Combine like terms: -5h + 5h = 0 -2 + 3h = 13 + 0 -2 + 3h = 13 Add '2' to each side of the equation. -2 + 2 + 3h = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 3h = 13 + 2 3h = 13 + 2 Combine like terms: 13 + 2 = 15 3h = 15 Divide each side by '3'. h = 5 Simplifying h = 5
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