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Simplifying -5(3 + -2H) + -2[4H + -2(1 + H)] + -4 = 0 (3 * -5 + -2H * -5) + -2[4H + -2(1 + H)] + -4 = 0 (-15 + 10H) + -2[4H + -2(1 + H)] + -4 = 0 -15 + 10H + -2[4H + (1 * -2 + H * -2)] + -4 = 0 -15 + 10H + -2[4H + (-2 + -2H)] + -4 = 0 Reorder the terms: -15 + 10H + -2[-2 + 4H + -2H] + -4 = 0 Combine like terms: 4H + -2H = 2H -15 + 10H + -2[-2 + 2H] + -4 = 0 -15 + 10H + [-2 * -2 + 2H * -2] + -4 = 0 -15 + 10H + [4 + -4H] + -4 = 0 Reorder the terms: -15 + 4 + -4 + 10H + -4H = 0 Combine like terms: -15 + 4 = -11 -11 + -4 + 10H + -4H = 0 Combine like terms: -11 + -4 = -15 -15 + 10H + -4H = 0 Combine like terms: 10H + -4H = 6H -15 + 6H = 0 Solving -15 + 6H = 0 Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 6H = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6H = 0 + 15 6H = 0 + 15 Combine like terms: 0 + 15 = 15 6H = 15 Divide each side by '6'. H = 2.5 Simplifying H = 2.5
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