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Simplifying 12p + -3 = -9(p + -2) Reorder the terms: -3 + 12p = -9(p + -2) Reorder the terms: -3 + 12p = -9(-2 + p) -3 + 12p = (-2 * -9 + p * -9) -3 + 12p = (18 + -9p) Solving -3 + 12p = 18 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -3 + 12p + 9p = 18 + -9p + 9p Combine like terms: 12p + 9p = 21p -3 + 21p = 18 + -9p + 9p Combine like terms: -9p + 9p = 0 -3 + 21p = 18 + 0 -3 + 21p = 18 Add '3' to each side of the equation. -3 + 3 + 21p = 18 + 3 Combine like terms: -3 + 3 = 0 0 + 21p = 18 + 3 21p = 18 + 3 Combine like terms: 18 + 3 = 21 21p = 21 Divide each side by '21'. p = 1 Simplifying p = 1
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