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Simplifying 2(h + -1) = -3(h + 4) Reorder the terms: 2(-1 + h) = -3(h + 4) (-1 * 2 + h * 2) = -3(h + 4) (-2 + 2h) = -3(h + 4) Reorder the terms: -2 + 2h = -3(4 + h) -2 + 2h = (4 * -3 + h * -3) -2 + 2h = (-12 + -3h) Solving -2 + 2h = -12 + -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. -2 + 2h + 3h = -12 + -3h + 3h Combine like terms: 2h + 3h = 5h -2 + 5h = -12 + -3h + 3h Combine like terms: -3h + 3h = 0 -2 + 5h = -12 + 0 -2 + 5h = -12 Add '2' to each side of the equation. -2 + 2 + 5h = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 5h = -12 + 2 5h = -12 + 2 Combine like terms: -12 + 2 = -10 5h = -10 Divide each side by '5'. h = -2 Simplifying h = -2
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