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Simplifying 3(3p + 7) + -4(p + 2) = 0 Reorder the terms: 3(7 + 3p) + -4(p + 2) = 0 (7 * 3 + 3p * 3) + -4(p + 2) = 0 (21 + 9p) + -4(p + 2) = 0 Reorder the terms: 21 + 9p + -4(2 + p) = 0 21 + 9p + (2 * -4 + p * -4) = 0 21 + 9p + (-8 + -4p) = 0 Reorder the terms: 21 + -8 + 9p + -4p = 0 Combine like terms: 21 + -8 = 13 13 + 9p + -4p = 0 Combine like terms: 9p + -4p = 5p 13 + 5p = 0 Solving 13 + 5p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 5p = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 5p = 0 + -13 5p = 0 + -13 Combine like terms: 0 + -13 = -13 5p = -13 Divide each side by '5'. p = -2.6 Simplifying p = -2.6
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