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Simplifying 8(3 + 6p) + -7 = -28 + 3p (3 * 8 + 6p * 8) + -7 = -28 + 3p (24 + 48p) + -7 = -28 + 3p Reorder the terms: 24 + -7 + 48p = -28 + 3p Combine like terms: 24 + -7 = 17 17 + 48p = -28 + 3p Solving 17 + 48p = -28 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 17 + 48p + -3p = -28 + 3p + -3p Combine like terms: 48p + -3p = 45p 17 + 45p = -28 + 3p + -3p Combine like terms: 3p + -3p = 0 17 + 45p = -28 + 0 17 + 45p = -28 Add '-17' to each side of the equation. 17 + -17 + 45p = -28 + -17 Combine like terms: 17 + -17 = 0 0 + 45p = -28 + -17 45p = -28 + -17 Combine like terms: -28 + -17 = -45 45p = -45 Divide each side by '45'. p = -1 Simplifying p = -1
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