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Simplifying -3p + -2(2 + -6p) = 4(p + -2) + -16 -3p + (2 * -2 + -6p * -2) = 4(p + -2) + -16 -3p + (-4 + 12p) = 4(p + -2) + -16 Reorder the terms: -4 + -3p + 12p = 4(p + -2) + -16 Combine like terms: -3p + 12p = 9p -4 + 9p = 4(p + -2) + -16 Reorder the terms: -4 + 9p = 4(-2 + p) + -16 -4 + 9p = (-2 * 4 + p * 4) + -16 -4 + 9p = (-8 + 4p) + -16 Reorder the terms: -4 + 9p = -8 + -16 + 4p Combine like terms: -8 + -16 = -24 -4 + 9p = -24 + 4p Solving -4 + 9p = -24 + 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 = -24 + 4p + -4p Combine like terms: 9p + -4p = 5p -4 + 5p = -24 + 4p + -4p Combine like terms: 4p + -4p = 0 -4 + 5p = -24 + 0 -4 + 5p = -24 Add '4' to each side of the equation. -4 + 4 + 5p = -24 + 4 Combine like terms: -4 + 4 = 0 0 + 5p = -24 + 4 5p = -24 + 4 Combine like terms: -24 + 4 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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