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Simplifying 3p + -3(1 + -2p) = -15 + 3p 3p + (1 * -3 + -2p * -3) = -15 + 3p 3p + (-3 + 6p) = -15 + 3p Reorder the terms: -3 + 3p + 6p = -15 + 3p Combine like terms: 3p + 6p = 9p -3 + 9p = -15 + 3p Solving -3 + 9p = -15 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -3 + 9p + -3p = -15 + 3p + -3p Combine like terms: 9p + -3p = 6p -3 + 6p = -15 + 3p + -3p Combine like terms: 3p + -3p = 0 -3 + 6p = -15 + 0 -3 + 6p = -15 Add '3' to each side of the equation. -3 + 3 + 6p = -15 + 3 Combine like terms: -3 + 3 = 0 0 + 6p = -15 + 3 6p = -15 + 3 Combine like terms: -15 + 3 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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