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Simplifying 3p + -2(2 + -3p) = 4(p + -5) + -19 3p + (2 * -2 + -3p * -2) = 4(p + -5) + -19 3p + (-4 + 6p) = 4(p + -5) + -19 Reorder the terms: -4 + 3p + 6p = 4(p + -5) + -19 Combine like terms: 3p + 6p = 9p -4 + 9p = 4(p + -5) + -19 Reorder the terms: -4 + 9p = 4(-5 + p) + -19 -4 + 9p = (-5 * 4 + p * 4) + -19 -4 + 9p = (-20 + 4p) + -19 Reorder the terms: -4 + 9p = -20 + -19 + 4p Combine like terms: -20 + -19 = -39 -4 + 9p = -39 + 4p Solving -4 + 9p = -39 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -4 + 9p + -4p = -39 + 4p + -4p Combine like terms: 9p + -4p = 5p -4 + 5p = -39 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + 5p = -39 + 0 -4 + 5p = -39 Add '4' to each side of the equation. -4 + 4 + 5p = -39 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -39 + 4 5p = -39 + 4 Combine like terms: -39 + 4 = -35 5p = -35 Divide each side by '5'. p = -7 Simplifying p = -7
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