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Simplifying 2(5p + 8) + -3(p + 7) = 0 Reorder the terms: 2(8 + 5p) + -3(p + 7) = 0 (8 * 2 + 5p * 2) + -3(p + 7) = 0 (16 + 10p) + -3(p + 7) = 0 Reorder the terms: 16 + 10p + -3(7 + p) = 0 16 + 10p + (7 * -3 + p * -3) = 0 16 + 10p + (-21 + -3p) = 0 Reorder the terms: 16 + -21 + 10p + -3p = 0 Combine like terms: 16 + -21 = -5 -5 + 10p + -3p = 0 Combine like terms: 10p + -3p = 7p -5 + 7p = 0 Solving -5 + 7p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 7p = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 7p = 0 + 5 7p = 0 + 5 Combine like terms: 0 + 5 = 5 7p = 5 Divide each side by '7'. p = 0.7142857143 Simplifying p = 0.7142857143
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