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Simplifying -12 = -2H + 0.2(20 + -6H) -12 = -2H + (20 * 0.2 + -6H * 0.2) -12 = -2H + (4 + -1.2H) Reorder the terms: -12 = 4 + -2H + -1.2H Combine like terms: -2H + -1.2H = -3.2H -12 = 4 + -3.2H Solving -12 = 4 + -3.2H Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '3.2H' to each side of the equation. -12 + 3.2H = 4 + -3.2H + 3.2H Combine like terms: -3.2H + 3.2H = 0.0 -12 + 3.2H = 4 + 0.0 -12 + 3.2H = 4 Add '12' to each side of the equation. -12 + 12 + 3.2H = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 3.2H = 4 + 12 3.2H = 4 + 12 Combine like terms: 4 + 12 = 16 3.2H = 16 Divide each side by '3.2'. H = 5 Simplifying H = 5
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