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Simplifying -4p + -3(3 + -4p) = 3(p + -5) + -34 -4p + (3 * -3 + -4p * -3) = 3(p + -5) + -34 -4p + (-9 + 12p) = 3(p + -5) + -34 Reorder the terms: -9 + -4p + 12p = 3(p + -5) + -34 Combine like terms: -4p + 12p = 8p -9 + 8p = 3(p + -5) + -34 Reorder the terms: -9 + 8p = 3(-5 + p) + -34 -9 + 8p = (-5 * 3 + p * 3) + -34 -9 + 8p = (-15 + 3p) + -34 Reorder the terms: -9 + 8p = -15 + -34 + 3p Combine like terms: -15 + -34 = -49 -9 + 8p = -49 + 3p Solving -9 + 8p = -49 + 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. -9 + 8p + -3p = -49 + 3p + -3p Combine like terms: 8p + -3p = 5p -9 + 5p = -49 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + 5p = -49 + 0 -9 + 5p = -49 Add '9' to each side of the equation. -9 + 9 + 5p = -49 + 9 Combine like terms: -9 + 9 = 0 0 + 5p = -49 + 9 5p = -49 + 9 Combine like terms: -49 + 9 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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