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Simplifying 103 = 3(-4p + 8) + 7 Reorder the terms: 103 = 3(8 + -4p) + 7 103 = (8 * 3 + -4p * 3) + 7 103 = (24 + -12p) + 7 Reorder the terms: 103 = 24 + 7 + -12p Combine like terms: 24 + 7 = 31 103 = 31 + -12p Solving 103 = 31 + -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. 103 + 12p = 31 + -12p + 12p Combine like terms: -12p + 12p = 0 103 + 12p = 31 + 0 103 + 12p = 31 Add '-103' to each side of the equation. 103 + -103 + 12p = 31 + -103 Combine like terms: 103 + -103 = 0 0 + 12p = 31 + -103 12p = 31 + -103 Combine like terms: 31 + -103 = -72 12p = -72 Divide each side by '12'. p = -6 Simplifying p = -6
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