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Simplifying 3(h + -3) + -2 = 2(h + -5) Reorder the terms: 3(-3 + h) + -2 = 2(h + -5) (-3 * 3 + h * 3) + -2 = 2(h + -5) (-9 + 3h) + -2 = 2(h + -5) Reorder the terms: -9 + -2 + 3h = 2(h + -5) Combine like terms: -9 + -2 = -11 -11 + 3h = 2(h + -5) Reorder the terms: -11 + 3h = 2(-5 + h) -11 + 3h = (-5 * 2 + h * 2) -11 + 3h = (-10 + 2h) Solving -11 + 3h = -10 + 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. -11 + 3h + -2h = -10 + 2h + -2h Combine like terms: 3h + -2h = 1h -11 + 1h = -10 + 2h + -2h Combine like terms: 2h + -2h = 0 -11 + 1h = -10 + 0 -11 + 1h = -10 Add '11' to each side of the equation. -11 + 11 + 1h = -10 + 11 Combine like terms: -11 + 11 = 0 0 + 1h = -10 + 11 1h = -10 + 11 Combine like terms: -10 + 11 = 1 1h = 1 Divide each side by '1'. h = 1 Simplifying h = 1
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