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Simplifying -4p + -2(2 + -6p) = 3(p + -5) + -44 -4p + (2 * -2 + -6p * -2) = 3(p + -5) + -44 -4p + (-4 + 12p) = 3(p + -5) + -44 Reorder the terms: -4 + -4p + 12p = 3(p + -5) + -44 Combine like terms: -4p + 12p = 8p -4 + 8p = 3(p + -5) + -44 Reorder the terms: -4 + 8p = 3(-5 + p) + -44 -4 + 8p = (-5 * 3 + p * 3) + -44 -4 + 8p = (-15 + 3p) + -44 Reorder the terms: -4 + 8p = -15 + -44 + 3p Combine like terms: -15 + -44 = -59 -4 + 8p = -59 + 3p Solving -4 + 8p = -59 + 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. -4 + 8p + -3p = -59 + 3p + -3p Combine like terms: 8p + -3p = 5p -4 + 5p = -59 + 3p + -3p Combine like terms: 3p + -3p = 0 -4 + 5p = -59 + 0 -4 + 5p = -59 Add '4' to each side of the equation. -4 + 4 + 5p = -59 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -59 + 4 5p = -59 + 4 Combine like terms: -59 + 4 = -55 5p = -55 Divide each side by '5'. p = -11 Simplifying p = -11
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