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Simplifying 19 + -1p = 3(p + -3) Reorder the terms: 19 + -1p = 3(-3 + p) 19 + -1p = (-3 * 3 + p * 3) 19 + -1p = (-9 + 3p) Solving 19 + -1p = -9 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. 19 + -1p + -3p = -9 + 3p + -3p Combine like terms: -1p + -3p = -4p 19 + -4p = -9 + 3p + -3p Combine like terms: 3p + -3p = 0 19 + -4p = -9 + 0 19 + -4p = -9 Add '-19' to each side of the equation. 19 + -19 + -4p = -9 + -19 Combine like terms: 19 + -19 = 0 0 + -4p = -9 + -19 -4p = -9 + -19 Combine like terms: -9 + -19 = -28 -4p = -28 Divide each side by '-4'. p = 7 Simplifying p = 7
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