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Simplifying 3p + -3(7p + -1) = 5(6 + -3p) + 6 Reorder the terms: 3p + -3(-1 + 7p) = 5(6 + -3p) + 6 3p + (-1 * -3 + 7p * -3) = 5(6 + -3p) + 6 3p + (3 + -21p) = 5(6 + -3p) + 6 Reorder the terms: 3 + 3p + -21p = 5(6 + -3p) + 6 Combine like terms: 3p + -21p = -18p 3 + -18p = 5(6 + -3p) + 6 3 + -18p = (6 * 5 + -3p * 5) + 6 3 + -18p = (30 + -15p) + 6 Reorder the terms: 3 + -18p = 30 + 6 + -15p Combine like terms: 30 + 6 = 36 3 + -18p = 36 + -15p Solving 3 + -18p = 36 + -15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '15p' to each side of the equation. 3 + -18p + 15p = 36 + -15p + 15p Combine like terms: -18p + 15p = -3p 3 + -3p = 36 + -15p + 15p Combine like terms: -15p + 15p = 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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