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Simplifying 12h + -5 = 5(2h + 1) Reorder the terms: -5 + 12h = 5(2h + 1) Reorder the terms: -5 + 12h = 5(1 + 2h) -5 + 12h = (1 * 5 + 2h * 5) -5 + 12h = (5 + 10h) Solving -5 + 12h = 5 + 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. -5 + 12h + -10h = 5 + 10h + -10h Combine like terms: 12h + -10h = 2h -5 + 2h = 5 + 10h + -10h Combine like terms: 10h + -10h = 0 -5 + 2h = 5 + 0 -5 + 2h = 5 Add '5' to each side of the equation. -5 + 5 + 2h = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 2h = 5 + 5 2h = 5 + 5 Combine like terms: 5 + 5 = 10 2h = 10 Divide each side by '2'. h = 5 Simplifying h = 5
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