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Simplifying 5p + 3 = 3(3p + -5) Reorder the terms: 3 + 5p = 3(3p + -5) Reorder the terms: 3 + 5p = 3(-5 + 3p) 3 + 5p = (-5 * 3 + 3p * 3) 3 + 5p = (-15 + 9p) Solving 3 + 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. 3 + 5p + -9p = -15 + 9p + -9p Combine like terms: 5p + -9p = -4p 3 + -4p = -15 + 9p + -9p Combine like terms: 9p + -9p = 0 3 + -4p = -15 + 0 3 + -4p = -15 Add '-3' to each side of the equation. 3 + -3 + -4p = -15 + -3 Combine like terms: 3 + -3 = 0 0 + -4p = -15 + -3 -4p = -15 + -3 Combine like terms: -15 + -3 = -18 -4p = -18 Divide each side by '-4'. p = 4.5 Simplifying p = 4.5
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