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Simplifying 4(3p + -1) + 13 = 5p + 2 Reorder the terms: 4(-1 + 3p) + 13 = 5p + 2 (-1 * 4 + 3p * 4) + 13 = 5p + 2 (-4 + 12p) + 13 = 5p + 2 Reorder the terms: -4 + 13 + 12p = 5p + 2 Combine like terms: -4 + 13 = 9 9 + 12p = 5p + 2 Reorder the terms: 9 + 12p = 2 + 5p Solving 9 + 12p = 2 + 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. 9 + 12p + -5p = 2 + 5p + -5p Combine like terms: 12p + -5p = 7p 9 + 7p = 2 + 5p + -5p Combine like terms: 5p + -5p = 0 9 + 7p = 2 + 0 9 + 7p = 2 Add '-9' to each side of the equation. 9 + -9 + 7p = 2 + -9 Combine like terms: 9 + -9 = 0 0 + 7p = 2 + -9 7p = 2 + -9 Combine like terms: 2 + -9 = -7 7p = -7 Divide each side by '7'. p = -1 Simplifying p = -1
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