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Simplifying 3(h + -2) + 2(h + -3) = 28 Reorder the terms: 3(-2 + h) + 2(h + -3) = 28 (-2 * 3 + h * 3) + 2(h + -3) = 28 (-6 + 3h) + 2(h + -3) = 28 Reorder the terms: -6 + 3h + 2(-3 + h) = 28 -6 + 3h + (-3 * 2 + h * 2) = 28 -6 + 3h + (-6 + 2h) = 28 Reorder the terms: -6 + -6 + 3h + 2h = 28 Combine like terms: -6 + -6 = -12 -12 + 3h + 2h = 28 Combine like terms: 3h + 2h = 5h -12 + 5h = 28 Solving -12 + 5h = 28 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 5h = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 5h = 28 + 12 5h = 28 + 12 Combine like terms: 28 + 12 = 40 5h = 40 Divide each side by '5'. h = 8 Simplifying h = 8
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