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Simplifying -4p + -4(6 + -3p) = 4(p + -3) + -28 -4p + (6 * -4 + -3p * -4) = 4(p + -3) + -28 -4p + (-24 + 12p) = 4(p + -3) + -28 Reorder the terms: -24 + -4p + 12p = 4(p + -3) + -28 Combine like terms: -4p + 12p = 8p -24 + 8p = 4(p + -3) + -28 Reorder the terms: -24 + 8p = 4(-3 + p) + -28 -24 + 8p = (-3 * 4 + p * 4) + -28 -24 + 8p = (-12 + 4p) + -28 Reorder the terms: -24 + 8p = -12 + -28 + 4p Combine like terms: -12 + -28 = -40 -24 + 8p = -40 + 4p Solving -24 + 8p = -40 + 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. -24 + 8p + -4p = -40 + 4p + -4p Combine like terms: 8p + -4p = 4p -24 + 4p = -40 + 4p + -4p Combine like terms: 4p + -4p = 0 -24 + 4p = -40 + 0 -24 + 4p = -40 Add '24' to each side of the equation. -24 + 24 + 4p = -40 + 24 Combine like terms: -24 + 24 = 0 0 + 4p = -40 + 24 4p = -40 + 24 Combine like terms: -40 + 24 = -16 4p = -16 Divide each side by '4'. p = -4 Simplifying p = -4
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