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Simplifying 4(2h + 1) + -3(h + 4) = 3(h + -4) + -2 Reorder the terms: 4(1 + 2h) + -3(h + 4) = 3(h + -4) + -2 (1 * 4 + 2h * 4) + -3(h + 4) = 3(h + -4) + -2 (4 + 8h) + -3(h + 4) = 3(h + -4) + -2 Reorder the terms: 4 + 8h + -3(4 + h) = 3(h + -4) + -2 4 + 8h + (4 * -3 + h * -3) = 3(h + -4) + -2 4 + 8h + (-12 + -3h) = 3(h + -4) + -2 Reorder the terms: 4 + -12 + 8h + -3h = 3(h + -4) + -2 Combine like terms: 4 + -12 = -8 -8 + 8h + -3h = 3(h + -4) + -2 Combine like terms: 8h + -3h = 5h -8 + 5h = 3(h + -4) + -2 Reorder the terms: -8 + 5h = 3(-4 + h) + -2 -8 + 5h = (-4 * 3 + h * 3) + -2 -8 + 5h = (-12 + 3h) + -2 Reorder the terms: -8 + 5h = -12 + -2 + 3h Combine like terms: -12 + -2 = -14 -8 + 5h = -14 + 3h Solving -8 + 5h = -14 + 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. -8 + 5h + -3h = -14 + 3h + -3h Combine like terms: 5h + -3h = 2h -8 + 2h = -14 + 3h + -3h Combine like terms: 3h + -3h = 0 -8 + 2h = -14 + 0 -8 + 2h = -14 Add '8' to each side of the equation. -8 + 8 + 2h = -14 + 8 Combine like terms: -8 + 8 = 0 0 + 2h = -14 + 8 2h = -14 + 8 Combine like terms: -14 + 8 = -6 2h = -6 Divide each side by '2'. h = -3 Simplifying h = -3
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