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Simplifying 3(4H + -2) + -1(5H + -8) = 8 + -1(2H + 3) Reorder the terms: 3(-2 + 4H) + -1(5H + -8) = 8 + -1(2H + 3) (-2 * 3 + 4H * 3) + -1(5H + -8) = 8 + -1(2H + 3) (-6 + 12H) + -1(5H + -8) = 8 + -1(2H + 3) Reorder the terms: -6 + 12H + -1(-8 + 5H) = 8 + -1(2H + 3) -6 + 12H + (-8 * -1 + 5H * -1) = 8 + -1(2H + 3) -6 + 12H + (8 + -5H) = 8 + -1(2H + 3) Reorder the terms: -6 + 8 + 12H + -5H = 8 + -1(2H + 3) Combine like terms: -6 + 8 = 2 2 + 12H + -5H = 8 + -1(2H + 3) Combine like terms: 12H + -5H = 7H 2 + 7H = 8 + -1(2H + 3) Reorder the terms: 2 + 7H = 8 + -1(3 + 2H) 2 + 7H = 8 + (3 * -1 + 2H * -1) 2 + 7H = 8 + (-3 + -2H) Combine like terms: 8 + -3 = 5 2 + 7H = 5 + -2H Solving 2 + 7H = 5 + -2H Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '2H' to each side of the equation. 2 + 7H + 2H = 5 + -2H + 2H Combine like terms: 7H + 2H = 9H 2 + 9H = 5 + -2H + 2H Combine like terms: -2H + 2H = 0 2 + 9H = 5 + 0 2 + 9H = 5 Add '-2' to each side of the equation. 2 + -2 + 9H = 5 + -2 Combine like terms: 2 + -2 = 0 0 + 9H = 5 + -2 9H = 5 + -2 Combine like terms: 5 + -2 = 3 9H = 3 Divide each side by '9'. H = 0.3333333333 Simplifying H = 0.3333333333
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