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Simplifying 3h + -2(4h + 1) = 14 + -4h Reorder the terms: 3h + -2(1 + 4h) = 14 + -4h 3h + (1 * -2 + 4h * -2) = 14 + -4h 3h + (-2 + -8h) = 14 + -4h Reorder the terms: -2 + 3h + -8h = 14 + -4h Combine like terms: 3h + -8h = -5h -2 + -5h = 14 + -4h Solving -2 + -5h = 14 + -4h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '4h' to each side of the equation. -2 + -5h + 4h = 14 + -4h + 4h Combine like terms: -5h + 4h = -1h -2 + -1h = 14 + -4h + 4h Combine like terms: -4h + 4h = 0 -2 + -1h = 14 + 0 -2 + -1h = 14 Add '2' to each side of the equation. -2 + 2 + -1h = 14 + 2 Combine like terms: -2 + 2 = 0 0 + -1h = 14 + 2 -1h = 14 + 2 Combine like terms: 14 + 2 = 16 -1h = 16 Divide each side by '-1'. h = -16 Simplifying h = -16
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