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Simplifying 4(2h + 2) + -3(h + 3) = 3(h + -3) + -2 Reorder the terms: 4(2 + 2h) + -3(h + 3) = 3(h + -3) + -2 (2 * 4 + 2h * 4) + -3(h + 3) = 3(h + -3) + -2 (8 + 8h) + -3(h + 3) = 3(h + -3) + -2 Reorder the terms: 8 + 8h + -3(3 + h) = 3(h + -3) + -2 8 + 8h + (3 * -3 + h * -3) = 3(h + -3) + -2 8 + 8h + (-9 + -3h) = 3(h + -3) + -2 Reorder the terms: 8 + -9 + 8h + -3h = 3(h + -3) + -2 Combine like terms: 8 + -9 = -1 -1 + 8h + -3h = 3(h + -3) + -2 Combine like terms: 8h + -3h = 5h -1 + 5h = 3(h + -3) + -2 Reorder the terms: -1 + 5h = 3(-3 + h) + -2 -1 + 5h = (-3 * 3 + h * 3) + -2 -1 + 5h = (-9 + 3h) + -2 Reorder the terms: -1 + 5h = -9 + -2 + 3h Combine like terms: -9 + -2 = -11 -1 + 5h = -11 + 3h Solving -1 + 5h = -11 + 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. -1 + 5h + -3h = -11 + 3h + -3h Combine like terms: 5h + -3h = 2h -1 + 2h = -11 + 3h + -3h Combine like terms: 3h + -3h = 0 -1 + 2h = -11 + 0 -1 + 2h = -11 Add '1' to each side of the equation. -1 + 1 + 2h = -11 + 1 Combine like terms: -1 + 1 = 0 0 + 2h = -11 + 1 2h = -11 + 1 Combine like terms: -11 + 1 = -10 2h = -10 Divide each side by '2'. h = -5 Simplifying h = -5
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