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Simplifying 3(4h + -1) = -4(3h + -5) Reorder the terms: 3(-1 + 4h) = -4(3h + -5) (-1 * 3 + 4h * 3) = -4(3h + -5) (-3 + 12h) = -4(3h + -5) Reorder the terms: -3 + 12h = -4(-5 + 3h) -3 + 12h = (-5 * -4 + 3h * -4) -3 + 12h = (20 + -12h) Solving -3 + 12h = 20 + -12h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '12h' to each side of the equation. -3 + 12h + 12h = 20 + -12h + 12h Combine like terms: 12h + 12h = 24h -3 + 24h = 20 + -12h + 12h Combine like terms: -12h + 12h = 0 -3 + 24h = 20 + 0 -3 + 24h = 20 Add '3' to each side of the equation. -3 + 3 + 24h = 20 + 3 Combine like terms: -3 + 3 = 0 0 + 24h = 20 + 3 24h = 20 + 3 Combine like terms: 20 + 3 = 23 24h = 23 Divide each side by '24'. h = 0.9583333333 Simplifying h = 0.9583333333
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