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Simplifying 78 = 6(p + -5) + 6p Reorder the terms: 78 = 6(-5 + p) + 6p 78 = (-5 * 6 + p * 6) + 6p 78 = (-30 + 6p) + 6p Combine like terms: 6p + 6p = 12p 78 = -30 + 12p Solving 78 = -30 + 12p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-12p' to each side of the equation. 78 + -12p = -30 + 12p + -12p Combine like terms: 12p + -12p = 0 78 + -12p = -30 + 0 78 + -12p = -30 Add '-78' to each side of the equation. 78 + -78 + -12p = -30 + -78 Combine like terms: 78 + -78 = 0 0 + -12p = -30 + -78 -12p = -30 + -78 Combine like terms: -30 + -78 = -108 -12p = -108 Divide each side by '-12'. p = 9 Simplifying p = 9
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