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Simplifying -3p + -6(-4p + -3) = -1p + 7(1 + 3p) Reorder the terms: -3p + -6(-3 + -4p) = -1p + 7(1 + 3p) -3p + (-3 * -6 + -4p * -6) = -1p + 7(1 + 3p) -3p + (18 + 24p) = -1p + 7(1 + 3p) Reorder the terms: 18 + -3p + 24p = -1p + 7(1 + 3p) Combine like terms: -3p + 24p = 21p 18 + 21p = -1p + 7(1 + 3p) 18 + 21p = -1p + (1 * 7 + 3p * 7) 18 + 21p = -1p + (7 + 21p) Reorder the terms: 18 + 21p = 7 + -1p + 21p Combine like terms: -1p + 21p = 20p 18 + 21p = 7 + 20p Solving 18 + 21p = 7 + 20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-20p' to each side of the equation. 18 + 21p + -20p = 7 + 20p + -20p Combine like terms: 21p + -20p = 1p 18 + 1p = 7 + 20p + -20p Combine like terms: 20p + -20p = 0 18 + 1p = 7 + 0 18 + 1p = 7 Add '-18' to each side of the equation. 18 + -18 + 1p = 7 + -18 Combine like terms: 18 + -18 = 0 0 + 1p = 7 + -18 1p = 7 + -18 Combine like terms: 7 + -18 = -11 1p = -11 Divide each side by '1'. p = -11 Simplifying p = -11
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