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Simplifying 5(3h + -2) = 2(h + 8) Reorder the terms: 5(-2 + 3h) = 2(h + 8) (-2 * 5 + 3h * 5) = 2(h + 8) (-10 + 15h) = 2(h + 8) Reorder the terms: -10 + 15h = 2(8 + h) -10 + 15h = (8 * 2 + h * 2) -10 + 15h = (16 + 2h) Solving -10 + 15h = 16 + 2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-2h' to each side of the equation. -10 + 15h + -2h = 16 + 2h + -2h Combine like terms: 15h + -2h = 13h -10 + 13h = 16 + 2h + -2h Combine like terms: 2h + -2h = 0 -10 + 13h = 16 + 0 -10 + 13h = 16 Add '10' to each side of the equation. -10 + 10 + 13h = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 13h = 16 + 10 13h = 16 + 10 Combine like terms: 16 + 10 = 26 13h = 26 Divide each side by '13'. h = 2 Simplifying h = 2
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