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Simplifying -5p + 13 = -5(3 + 2p) + p Reorder the terms: 13 + -5p = -5(3 + 2p) + p 13 + -5p = (3 * -5 + 2p * -5) + p 13 + -5p = (-15 + -10p) + p Combine like terms: -10p + p = -9p 13 + -5p = -15 + -9p Solving 13 + -5p = -15 + -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. 13 + -5p + 9p = -15 + -9p + 9p Combine like terms: -5p + 9p = 4p 13 + 4p = -15 + -9p + 9p Combine like terms: -9p + 9p = 0 13 + 4p = -15 + 0 13 + 4p = -15 Add '-13' to each side of the equation. 13 + -13 + 4p = -15 + -13 Combine like terms: 13 + -13 = 0 0 + 4p = -15 + -13 4p = -15 + -13 Combine like terms: -15 + -13 = -28 4p = -28 Divide each side by '4'. p = -7 Simplifying p = -7
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