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Simplifying 3(p + 4) + 5(p + 4) + 13 = 0 Reorder the terms: 3(4 + p) + 5(p + 4) + 13 = 0 (4 * 3 + p * 3) + 5(p + 4) + 13 = 0 (12 + 3p) + 5(p + 4) + 13 = 0 Reorder the terms: 12 + 3p + 5(4 + p) + 13 = 0 12 + 3p + (4 * 5 + p * 5) + 13 = 0 12 + 3p + (20 + 5p) + 13 = 0 Reorder the terms: 12 + 20 + 13 + 3p + 5p = 0 Combine like terms: 12 + 20 = 32 32 + 13 + 3p + 5p = 0 Combine like terms: 32 + 13 = 45 45 + 3p + 5p = 0 Combine like terms: 3p + 5p = 8p 45 + 8p = 0 Solving 45 + 8p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 8p = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 8p = 0 + -45 8p = 0 + -45 Combine like terms: 0 + -45 = -45 8p = -45 Divide each side by '8'. p = -5.625 Simplifying p = -5.625
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