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Simplifying -1p + -8(8p + 6) = 12 + -5p Reorder the terms: -1p + -8(6 + 8p) = 12 + -5p -1p + (6 * -8 + 8p * -8) = 12 + -5p -1p + (-48 + -64p) = 12 + -5p Reorder the terms: -48 + -1p + -64p = 12 + -5p Combine like terms: -1p + -64p = -65p -48 + -65p = 12 + -5p Solving -48 + -65p = 12 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -48 + -65p + 5p = 12 + -5p + 5p Combine like terms: -65p + 5p = -60p -48 + -60p = 12 + -5p + 5p Combine like terms: -5p + 5p = 0 -48 + -60p = 12 + 0 -48 + -60p = 12 Add '48' to each side of the equation. -48 + 48 + -60p = 12 + 48 Combine like terms: -48 + 48 = 0 0 + -60p = 12 + 48 -60p = 12 + 48 Combine like terms: 12 + 48 = 60 -60p = 60 Divide each side by '-60'. p = -1 Simplifying p = -1
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