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Simplifying -12 + -8p = 7p + 6(-1p + -8) Reorder the terms: -12 + -8p = 7p + 6(-8 + -1p) -12 + -8p = 7p + (-8 * 6 + -1p * 6) -12 + -8p = 7p + (-48 + -6p) Reorder the terms: -12 + -8p = -48 + 7p + -6p Combine like terms: 7p + -6p = 1p -12 + -8p = -48 + 1p Solving -12 + -8p = -48 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -12 + -8p + -1p = -48 + 1p + -1p Combine like terms: -8p + -1p = -9p -12 + -9p = -48 + 1p + -1p Combine like terms: 1p + -1p = 0 -12 + -9p = -48 + 0 -12 + -9p = -48 Add '12' to each side of the equation. -12 + 12 + -9p = -48 + 12 Combine like terms: -12 + 12 = 0 0 + -9p = -48 + 12 -9p = -48 + 12 Combine like terms: -48 + 12 = -36 -9p = -36 Divide each side by '-9'. p = 4 Simplifying p = 4
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