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Simplifying 0.75(p + 12) = 0.50(p + -6) Reorder the terms: 0.75(12 + p) = 0.50(p + -6) (12 * 0.75 + p * 0.75) = 0.50(p + -6) (9 + 0.75p) = 0.50(p + -6) Reorder the terms: 9 + 0.75p = 0.50(-6 + p) 9 + 0.75p = (-6 * 0.50 + p * 0.50) 9 + 0.75p = (-3 + 0.50p) Solving 9 + 0.75p = -3 + 0.50p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-0.50p' to each side of the equation. 9 + 0.75p + -0.50p = -3 + 0.50p + -0.50p Combine like terms: 0.75p + -0.50p = 0.25p 9 + 0.25p = -3 + 0.50p + -0.50p Combine like terms: 0.50p + -0.50p = 0.00 9 + 0.25p = -3 + 0.00 9 + 0.25p = -3 Add '-9' to each side of the equation. 9 + -9 + 0.25p = -3 + -9 Combine like terms: 9 + -9 = 0 0 + 0.25p = -3 + -9 0.25p = -3 + -9 Combine like terms: -3 + -9 = -12 0.25p = -12 Divide each side by '0.25'. p = -48 Simplifying p = -48
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