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Simplifying -4p + -2(3 + -6p) = 4(p + -3) + -34 -4p + (3 * -2 + -6p * -2) = 4(p + -3) + -34 -4p + (-6 + 12p) = 4(p + -3) + -34 Reorder the terms: -6 + -4p + 12p = 4(p + -3) + -34 Combine like terms: -4p + 12p = 8p -6 + 8p = 4(p + -3) + -34 Reorder the terms: -6 + 8p = 4(-3 + p) + -34 -6 + 8p = (-3 * 4 + p * 4) + -34 -6 + 8p = (-12 + 4p) + -34 Reorder the terms: -6 + 8p = -12 + -34 + 4p Combine like terms: -12 + -34 = -46 -6 + 8p = -46 + 4p Solving -6 + 8p = -46 + 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. -6 + 8p + -4p = -46 + 4p + -4p Combine like terms: 8p + -4p = 4p -6 + 4p = -46 + 4p + -4p Combine like terms: 4p + -4p = 0 -6 + 4p = -46 + 0 -6 + 4p = -46 Add '6' to each side of the equation. -6 + 6 + 4p = -46 + 6 Combine like terms: -6 + 6 = 0 0 + 4p = -46 + 6 4p = -46 + 6 Combine like terms: -46 + 6 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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