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Simplifying 8p + -5(p + 3) = (7p + 1) * 3 Reorder the terms: 8p + -5(3 + p) = (7p + 1) * 3 8p + (3 * -5 + p * -5) = (7p + 1) * 3 8p + (-15 + -5p) = (7p + 1) * 3 Reorder the terms: -15 + 8p + -5p = (7p + 1) * 3 Combine like terms: 8p + -5p = 3p -15 + 3p = (7p + 1) * 3 Reorder the terms: -15 + 3p = (1 + 7p) * 3 Reorder the terms for easier multiplication: -15 + 3p = 3(1 + 7p) -15 + 3p = (1 * 3 + 7p * 3) -15 + 3p = (3 + 21p) Solving -15 + 3p = 3 + 21p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-21p' to each side of the equation. -15 + 3p + -21p = 3 + 21p + -21p Combine like terms: 3p + -21p = -18p -15 + -18p = 3 + 21p + -21p Combine like terms: 21p + -21p = 0 -15 + -18p = 3 + 0 -15 + -18p = 3 Add '15' to each side of the equation. -15 + 15 + -18p = 3 + 15 Combine like terms: -15 + 15 = 0 0 + -18p = 3 + 15 -18p = 3 + 15 Combine like terms: 3 + 15 = 18 -18p = 18 Divide each side by '-18'. p = -1 Simplifying p = -1
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