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Simplifying 8p + -5(p + 13) = (7p + -1) * 3 Reorder the terms: 8p + -5(13 + p) = (7p + -1) * 3 8p + (13 * -5 + p * -5) = (7p + -1) * 3 8p + (-65 + -5p) = (7p + -1) * 3 Reorder the terms: -65 + 8p + -5p = (7p + -1) * 3 Combine like terms: 8p + -5p = 3p -65 + 3p = (7p + -1) * 3 Reorder the terms: -65 + 3p = (-1 + 7p) * 3 Reorder the terms for easier multiplication: -65 + 3p = 3(-1 + 7p) -65 + 3p = (-1 * 3 + 7p * 3) -65 + 3p = (-3 + 21p) Solving -65 + 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. -65 + 3p + -21p = -3 + 21p + -21p Combine like terms: 3p + -21p = -18p -65 + -18p = -3 + 21p + -21p Combine like terms: 21p + -21p = 0 -65 + -18p = -3 + 0 -65 + -18p = -3 Add '65' to each side of the equation. -65 + 65 + -18p = -3 + 65 Combine like terms: -65 + 65 = 0 0 + -18p = -3 + 65 -18p = -3 + 65 Combine like terms: -3 + 65 = 62 -18p = 62 Divide each side by '-18'. p = -3.444444444 Simplifying p = -3.444444444
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