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Simplifying 2 + -6(1 + -9h) = 8h + 42 2 + (1 * -6 + -9h * -6) = 8h + 42 2 + (-6 + 54h) = 8h + 42 Combine like terms: 2 + -6 = -4 -4 + 54h = 8h + 42 Reorder the terms: -4 + 54h = 42 + 8h Solving -4 + 54h = 42 + 8h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-8h' to each side of the equation. -4 + 54h + -8h = 42 + 8h + -8h Combine like terms: 54h + -8h = 46h -4 + 46h = 42 + 8h + -8h Combine like terms: 8h + -8h = 0 -4 + 46h = 42 + 0 -4 + 46h = 42 Add '4' to each side of the equation. -4 + 4 + 46h = 42 + 4 Combine like terms: -4 + 4 = 0 0 + 46h = 42 + 4 46h = 42 + 4 Combine like terms: 42 + 4 = 46 46h = 46 Divide each side by '46'. h = 1 Simplifying h = 1
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