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Simplifying 6(2H + 1) + 2(h + -3) = 0 Reorder the terms: 6(1 + 2H) + 2(h + -3) = 0 (1 * 6 + 2H * 6) + 2(h + -3) = 0 (6 + 12H) + 2(h + -3) = 0 Reorder the terms: 6 + 12H + 2(-3 + h) = 0 6 + 12H + (-3 * 2 + h * 2) = 0 6 + 12H + (-6 + 2h) = 0 Reorder the terms: 6 + -6 + 12H + 2h = 0 Combine like terms: 6 + -6 = 0 0 + 12H + 2h = 0 12H + 2h = 0 Solving 12H + 2h = 0 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. 12H + 2h + -2h = 0 + -2h Combine like terms: 2h + -2h = 0 12H + 0 = 0 + -2h 12H = 0 + -2h Remove the zero: 12H = -2h Divide each side by '12'. H = -0.1666666667h Simplifying H = -0.1666666667h
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