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Simplifying 8 + -5(p + 3) = (7p + -1) * 3 Reorder the terms: 8 + -5(3 + p) = (7p + -1) * 3 8 + (3 * -5 + p * -5) = (7p + -1) * 3 8 + (-15 + -5p) = (7p + -1) * 3 Combine like terms: 8 + -15 = -7 -7 + -5p = (7p + -1) * 3 Reorder the terms: -7 + -5p = (-1 + 7p) * 3 Reorder the terms for easier multiplication: -7 + -5p = 3(-1 + 7p) -7 + -5p = (-1 * 3 + 7p * 3) -7 + -5p = (-3 + 21p) Solving -7 + -5p = -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. -7 + -5p + -21p = -3 + 21p + -21p Combine like terms: -5p + -21p = -26p -7 + -26p = -3 + 21p + -21p Combine like terms: 21p + -21p = 0 -7 + -26p = -3 + 0 -7 + -26p = -3 Add '7' to each side of the equation. -7 + 7 + -26p = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -26p = -3 + 7 -26p = -3 + 7 Combine like terms: -3 + 7 = 4 -26p = 4 Divide each side by '-26'. p = -0.1538461538 Simplifying p = -0.1538461538
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