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Simplifying 12 + -7p = -1p + -3(8p + 2) Reorder the terms: 12 + -7p = -1p + -3(2 + 8p) 12 + -7p = -1p + (2 * -3 + 8p * -3) 12 + -7p = -1p + (-6 + -24p) Reorder the terms: 12 + -7p = -6 + -1p + -24p Combine like terms: -1p + -24p = -25p 12 + -7p = -6 + -25p Solving 12 + -7p = -6 + -25p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '25p' to each side of the equation. 12 + -7p + 25p = -6 + -25p + 25p Combine like terms: -7p + 25p = 18p 12 + 18p = -6 + -25p + 25p Combine like terms: -25p + 25p = 0 12 + 18p = -6 + 0 12 + 18p = -6 Add '-12' to each side of the equation. 12 + -12 + 18p = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 18p = -6 + -12 18p = -6 + -12 Combine like terms: -6 + -12 = -18 18p = -18 Divide each side by '18'. p = -1 Simplifying p = -1
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