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Simplifying 4(3h + -1) = 4(h + 3) Reorder the terms: 4(-1 + 3h) = 4(h + 3) (-1 * 4 + 3h * 4) = 4(h + 3) (-4 + 12h) = 4(h + 3) Reorder the terms: -4 + 12h = 4(3 + h) -4 + 12h = (3 * 4 + h * 4) -4 + 12h = (12 + 4h) Solving -4 + 12h = 12 + 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. -4 + 12h + -4h = 12 + 4h + -4h Combine like terms: 12h + -4h = 8h -4 + 8h = 12 + 4h + -4h Combine like terms: 4h + -4h = 0 -4 + 8h = 12 + 0 -4 + 8h = 12 Add '4' to each side of the equation. -4 + 4 + 8h = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 8h = 12 + 4 8h = 12 + 4 Combine like terms: 12 + 4 = 16 8h = 16 Divide each side by '8'. h = 2 Simplifying h = 2
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