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Simplifying 3(7p + 3) = 6(4p + 1) + 6 Reorder the terms: 3(3 + 7p) = 6(4p + 1) + 6 (3 * 3 + 7p * 3) = 6(4p + 1) + 6 (9 + 21p) = 6(4p + 1) + 6 Reorder the terms: 9 + 21p = 6(1 + 4p) + 6 9 + 21p = (1 * 6 + 4p * 6) + 6 9 + 21p = (6 + 24p) + 6 Reorder the terms: 9 + 21p = 6 + 6 + 24p Combine like terms: 6 + 6 = 12 9 + 21p = 12 + 24p Solving 9 + 21p = 12 + 24p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-24p' to each side of the equation. 9 + 21p + -24p = 12 + 24p + -24p Combine like terms: 21p + -24p = -3p 9 + -3p = 12 + 24p + -24p Combine like terms: 24p + -24p = 0 9 + -3p = 12 + 0 9 + -3p = 12 Add '-9' to each side of the equation. 9 + -9 + -3p = 12 + -9 Combine like terms: 9 + -9 = 0 0 + -3p = 12 + -9 -3p = 12 + -9 Combine like terms: 12 + -9 = 3 -3p = 3 Divide each side by '-3'. p = -1 Simplifying p = -1
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