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Simplifying 42 = h + -6 + 7h Reorder the terms: 42 = -6 + h + 7h Combine like terms: h + 7h = 8h 42 = -6 + 8h Solving 42 = -6 + 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. 42 + -8h = -6 + 8h + -8h Combine like terms: 8h + -8h = 0 42 + -8h = -6 + 0 42 + -8h = -6 Add '-42' to each side of the equation. 42 + -42 + -8h = -6 + -42 Combine like terms: 42 + -42 = 0 0 + -8h = -6 + -42 -8h = -6 + -42 Combine like terms: -6 + -42 = -48 -8h = -48 Divide each side by '-8'. h = 6 Simplifying h = 6
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