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Simplifying 3(h + -3) + -5h = -3h + -6 Reorder the terms: 3(-3 + h) + -5h = -3h + -6 (-3 * 3 + h * 3) + -5h = -3h + -6 (-9 + 3h) + -5h = -3h + -6 Combine like terms: 3h + -5h = -2h -9 + -2h = -3h + -6 Reorder the terms: -9 + -2h = -6 + -3h Solving -9 + -2h = -6 + -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. -9 + -2h + 3h = -6 + -3h + 3h Combine like terms: -2h + 3h = 1h -9 + 1h = -6 + -3h + 3h Combine like terms: -3h + 3h = 0 -9 + 1h = -6 + 0 -9 + 1h = -6 Add '9' to each side of the equation. -9 + 9 + 1h = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 1h = -6 + 9 1h = -6 + 9 Combine like terms: -6 + 9 = 3 1h = 3 Divide each side by '1'. h = 3 Simplifying h = 3
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