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Simplifying 3(2p + -3) = 3(p + 1) Reorder the terms: 3(-3 + 2p) = 3(p + 1) (-3 * 3 + 2p * 3) = 3(p + 1) (-9 + 6p) = 3(p + 1) Reorder the terms: -9 + 6p = 3(1 + p) -9 + 6p = (1 * 3 + p * 3) -9 + 6p = (3 + 3p) Solving -9 + 6p = 3 + 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. -9 + 6p + -3p = 3 + 3p + -3p Combine like terms: 6p + -3p = 3p -9 + 3p = 3 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + 3p = 3 + 0 -9 + 3p = 3 Add '9' to each side of the equation. -9 + 9 + 3p = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 3p = 3 + 9 3p = 3 + 9 Combine like terms: 3 + 9 = 12 3p = 12 Divide each side by '3'. p = 4 Simplifying p = 4
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