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Simplifying -3(1 + -2p) = 12p + -3(p + 12) (1 * -3 + -2p * -3) = 12p + -3(p + 12) (-3 + 6p) = 12p + -3(p + 12) Reorder the terms: -3 + 6p = 12p + -3(12 + p) -3 + 6p = 12p + (12 * -3 + p * -3) -3 + 6p = 12p + (-36 + -3p) Reorder the terms: -3 + 6p = -36 + 12p + -3p Combine like terms: 12p + -3p = 9p -3 + 6p = -36 + 9p Solving -3 + 6p = -36 + 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 + 6p + -9p = -36 + 9p + -9p Combine like terms: 6p + -9p = -3p -3 + -3p = -36 + 9p + -9p Combine like terms: 9p + -9p = 0 -3 + -3p = -36 + 0 -3 + -3p = -36 Add '3' to each side of the equation. -3 + 3 + -3p = -36 + 3 Combine like terms: -3 + 3 = 0 0 + -3p = -36 + 3 -3p = -36 + 3 Combine like terms: -36 + 3 = -33 -3p = -33 Divide each side by '-3'. p = 11 Simplifying p = 11
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