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Simplifying 5(2p + 1) + -1(p + 3) = 7 Reorder the terms: 5(1 + 2p) + -1(p + 3) = 7 (1 * 5 + 2p * 5) + -1(p + 3) = 7 (5 + 10p) + -1(p + 3) = 7 Reorder the terms: 5 + 10p + -1(3 + p) = 7 5 + 10p + (3 * -1 + p * -1) = 7 5 + 10p + (-3 + -1p) = 7 Reorder the terms: 5 + -3 + 10p + -1p = 7 Combine like terms: 5 + -3 = 2 2 + 10p + -1p = 7 Combine like terms: 10p + -1p = 9p 2 + 9p = 7 Solving 2 + 9p = 7 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9p = 7 + -2 Combine like terms: 2 + -2 = 0 0 + 9p = 7 + -2 9p = 7 + -2 Combine like terms: 7 + -2 = 5 9p = 5 Divide each side by '9'. p = 0.5555555556 Simplifying p = 0.5555555556
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