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Simplifying 6(7h + 2) + -1(6h + 22) = 0 Reorder the terms: 6(2 + 7h) + -1(6h + 22) = 0 (2 * 6 + 7h * 6) + -1(6h + 22) = 0 (12 + 42h) + -1(6h + 22) = 0 Reorder the terms: 12 + 42h + -1(22 + 6h) = 0 12 + 42h + (22 * -1 + 6h * -1) = 0 12 + 42h + (-22 + -6h) = 0 Reorder the terms: 12 + -22 + 42h + -6h = 0 Combine like terms: 12 + -22 = -10 -10 + 42h + -6h = 0 Combine like terms: 42h + -6h = 36h -10 + 36h = 0 Solving -10 + 36h = 0 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 36h = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 36h = 0 + 10 36h = 0 + 10 Combine like terms: 0 + 10 = 10 36h = 10 Divide each side by '36'. h = 0.2777777778 Simplifying h = 0.2777777778
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