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Simplifying -12 = -1(3H + -1) + 4(2 + -1h) Reorder the terms: -12 = -1(-1 + 3H) + 4(2 + -1h) -12 = (-1 * -1 + 3H * -1) + 4(2 + -1h) -12 = (1 + -3H) + 4(2 + -1h) -12 = 1 + -3H + (2 * 4 + -1h * 4) -12 = 1 + -3H + (8 + -4h) Reorder the terms: -12 = 1 + 8 + -3H + -4h Combine like terms: 1 + 8 = 9 -12 = 9 + -3H + -4h Solving -12 = 9 + -3H + -4h 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. -12 + 3H = 9 + -3H + 3H + -4h Combine like terms: -3H + 3H = 0 -12 + 3H = 9 + 0 + -4h -12 + 3H = 9 + -4h Add '12' to each side of the equation. -12 + 12 + 3H = 9 + 12 + -4h Combine like terms: -12 + 12 = 0 0 + 3H = 9 + 12 + -4h 3H = 9 + 12 + -4h Combine like terms: 9 + 12 = 21 3H = 21 + -4h Divide each side by '3'. H = 7 + -1.333333333h Simplifying H = 7 + -1.333333333h
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