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Simplifying 2(3p + -8) = 16p + 24 Reorder the terms: 2(-8 + 3p) = 16p + 24 (-8 * 2 + 3p * 2) = 16p + 24 (-16 + 6p) = 16p + 24 Reorder the terms: -16 + 6p = 24 + 16p Solving -16 + 6p = 24 + 16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-16p' to each side of the equation. -16 + 6p + -16p = 24 + 16p + -16p Combine like terms: 6p + -16p = -10p -16 + -10p = 24 + 16p + -16p Combine like terms: 16p + -16p = 0 -16 + -10p = 24 + 0 -16 + -10p = 24 Add '16' to each side of the equation. -16 + 16 + -10p = 24 + 16 Combine like terms: -16 + 16 = 0 0 + -10p = 24 + 16 -10p = 24 + 16 Combine like terms: 24 + 16 = 40 -10p = 40 Divide each side by '-10'. p = -4 Simplifying p = -4
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