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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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