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Simplifying 8h + -27 + 5(2h + -3) = 62 + -1(3h + 8) Reorder the terms: 8h + -27 + 5(-3 + 2h) = 62 + -1(3h + 8) 8h + -27 + (-3 * 5 + 2h * 5) = 62 + -1(3h + 8) 8h + -27 + (-15 + 10h) = 62 + -1(3h + 8) Reorder the terms: -27 + -15 + 8h + 10h = 62 + -1(3h + 8) Combine like terms: -27 + -15 = -42 -42 + 8h + 10h = 62 + -1(3h + 8) Combine like terms: 8h + 10h = 18h -42 + 18h = 62 + -1(3h + 8) Reorder the terms: -42 + 18h = 62 + -1(8 + 3h) -42 + 18h = 62 + (8 * -1 + 3h * -1) -42 + 18h = 62 + (-8 + -3h) Combine like terms: 62 + -8 = 54 -42 + 18h = 54 + -3h Solving -42 + 18h = 54 + -3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3h' to each side of the equation. -42 + 18h + 3h = 54 + -3h + 3h Combine like terms: 18h + 3h = 21h -42 + 21h = 54 + -3h + 3h Combine like terms: -3h + 3h = 0 -42 + 21h = 54 + 0 -42 + 21h = 54 Add '42' to each side of the equation. -42 + 42 + 21h = 54 + 42 Combine like terms: -42 + 42 = 0 0 + 21h = 54 + 42 21h = 54 + 42 Combine like terms: 54 + 42 = 96 21h = 96 Divide each side by '21'. h = 4.571428571 Simplifying h = 4.571428571
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