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Simplifying 5 + -2(3p + 1) = 9p + -2 Reorder the terms: 5 + -2(1 + 3p) = 9p + -2 5 + (1 * -2 + 3p * -2) = 9p + -2 5 + (-2 + -6p) = 9p + -2 Combine like terms: 5 + -2 = 3 3 + -6p = 9p + -2 Reorder the terms: 3 + -6p = -2 + 9p Solving 3 + -6p = -2 + 9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-9p' to each side of the equation. 3 + -6p + -9p = -2 + 9p + -9p Combine like terms: -6p + -9p = -15p 3 + -15p = -2 + 9p + -9p Combine like terms: 9p + -9p = 0 3 + -15p = -2 + 0 3 + -15p = -2 Add '-3' to each side of the equation. 3 + -3 + -15p = -2 + -3 Combine like terms: 3 + -3 = 0 0 + -15p = -2 + -3 -15p = -2 + -3 Combine like terms: -2 + -3 = -5 -15p = -5 Divide each side by '-15'. p = 0.3333333333 Simplifying p = 0.3333333333
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