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Simplifying 6(-1p + 8) = 6p + 12 Reorder the terms: 6(8 + -1p) = 6p + 12 (8 * 6 + -1p * 6) = 6p + 12 (48 + -6p) = 6p + 12 Reorder the terms: 48 + -6p = 12 + 6p Solving 48 + -6p = 12 + 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. 48 + -6p + -6p = 12 + 6p + -6p Combine like terms: -6p + -6p = -12p 48 + -12p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 48 + -12p = 12 + 0 48 + -12p = 12 Add '-48' to each side of the equation. 48 + -48 + -12p = 12 + -48 Combine like terms: 48 + -48 = 0 0 + -12p = 12 + -48 -12p = 12 + -48 Combine like terms: 12 + -48 = -36 -12p = -36 Divide each side by '-12'. p = 3 Simplifying p = 3
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