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Simplifying 3(p + 6) = -2(3p + 5) + 1 Reorder the terms: 3(6 + p) = -2(3p + 5) + 1 (6 * 3 + p * 3) = -2(3p + 5) + 1 (18 + 3p) = -2(3p + 5) + 1 Reorder the terms: 18 + 3p = -2(5 + 3p) + 1 18 + 3p = (5 * -2 + 3p * -2) + 1 18 + 3p = (-10 + -6p) + 1 Reorder the terms: 18 + 3p = -10 + 1 + -6p Combine like terms: -10 + 1 = -9 18 + 3p = -9 + -6p Solving 18 + 3p = -9 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. 18 + 3p + 6p = -9 + -6p + 6p Combine like terms: 3p + 6p = 9p 18 + 9p = -9 + -6p + 6p Combine like terms: -6p + 6p = 0 18 + 9p = -9 + 0 18 + 9p = -9 Add '-18' to each side of the equation. 18 + -18 + 9p = -9 + -18 Combine like terms: 18 + -18 = 0 0 + 9p = -9 + -18 9p = -9 + -18 Combine like terms: -9 + -18 = -27 9p = -27 Divide each side by '9'. p = -3 Simplifying p = -3
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