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Simplifying 3(p + -8) = 2(3p + 6) Reorder the terms: 3(-8 + p) = 2(3p + 6) (-8 * 3 + p * 3) = 2(3p + 6) (-24 + 3p) = 2(3p + 6) Reorder the terms: -24 + 3p = 2(6 + 3p) -24 + 3p = (6 * 2 + 3p * 2) -24 + 3p = (12 + 6p) Solving -24 + 3p = 12 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -24 + 3p + -6p = 12 + 6p + -6p Combine like terms: 3p + -6p = -3p -24 + -3p = 12 + 6p + -6p Combine like terms: 6p + -6p = 0 -24 + -3p = 12 + 0 -24 + -3p = 12 Add '24' to each side of the equation. -24 + 24 + -3p = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -3p = 12 + 24 -3p = 12 + 24 Combine like terms: 12 + 24 = 36 -3p = 36 Divide each side by '-3'. p = -12 Simplifying p = -12
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