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Simplifying 21 = -1(-3 + -7p) + 3(1 + -4p) 21 = (-3 * -1 + -7p * -1) + 3(1 + -4p) 21 = (3 + 7p) + 3(1 + -4p) 21 = 3 + 7p + (1 * 3 + -4p * 3) 21 = 3 + 7p + (3 + -12p) Reorder the terms: 21 = 3 + 3 + 7p + -12p Combine like terms: 3 + 3 = 6 21 = 6 + 7p + -12p Combine like terms: 7p + -12p = -5p 21 = 6 + -5p Solving 21 = 6 + -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. 21 + 5p = 6 + -5p + 5p Combine like terms: -5p + 5p = 0 21 + 5p = 6 + 0 21 + 5p = 6 Add '-21' to each side of the equation. 21 + -21 + 5p = 6 + -21 Combine like terms: 21 + -21 = 0 0 + 5p = 6 + -21 5p = 6 + -21 Combine like terms: 6 + -21 = -15 5p = -15 Divide each side by '5'. p = -3 Simplifying p = -3
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