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Simplifying 5(3h + -2) = 3(h + 8) Reorder the terms: 5(-2 + 3h) = 3(h + 8) (-2 * 5 + 3h * 5) = 3(h + 8) (-10 + 15h) = 3(h + 8) Reorder the terms: -10 + 15h = 3(8 + h) -10 + 15h = (8 * 3 + h * 3) -10 + 15h = (24 + 3h) Solving -10 + 15h = 24 + 3h 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. -10 + 15h + -3h = 24 + 3h + -3h Combine like terms: 15h + -3h = 12h -10 + 12h = 24 + 3h + -3h Combine like terms: 3h + -3h = 0 -10 + 12h = 24 + 0 -10 + 12h = 24 Add '10' to each side of the equation. -10 + 10 + 12h = 24 + 10 Combine like terms: -10 + 10 = 0 0 + 12h = 24 + 10 12h = 24 + 10 Combine like terms: 24 + 10 = 34 12h = 34 Divide each side by '12'. h = 2.833333333 Simplifying h = 2.833333333
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