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Simplifying -16p + -6(2 + -4p) = 3(p + -4) + -20 -16p + (2 * -6 + -4p * -6) = 3(p + -4) + -20 -16p + (-12 + 24p) = 3(p + -4) + -20 Reorder the terms: -12 + -16p + 24p = 3(p + -4) + -20 Combine like terms: -16p + 24p = 8p -12 + 8p = 3(p + -4) + -20 Reorder the terms: -12 + 8p = 3(-4 + p) + -20 -12 + 8p = (-4 * 3 + p * 3) + -20 -12 + 8p = (-12 + 3p) + -20 Reorder the terms: -12 + 8p = -12 + -20 + 3p Combine like terms: -12 + -20 = -32 -12 + 8p = -32 + 3p Solving -12 + 8p = -32 + 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. -12 + 8p + -3p = -32 + 3p + -3p Combine like terms: 8p + -3p = 5p -12 + 5p = -32 + 3p + -3p Combine like terms: 3p + -3p = 0 -12 + 5p = -32 + 0 -12 + 5p = -32 Add '12' to each side of the equation. -12 + 12 + 5p = -32 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -32 + 12 5p = -32 + 12 Combine like terms: -32 + 12 = -20 5p = -20 Divide each side by '5'. p = -4 Simplifying p = -4
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