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Simplifying 6(p + -4) = 3p + 12 Reorder the terms: 6(-4 + p) = 3p + 12 (-4 * 6 + p * 6) = 3p + 12 (-24 + 6p) = 3p + 12 Reorder the terms: -24 + 6p = 12 + 3p Solving -24 + 6p = 12 + 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. -24 + 6p + -3p = 12 + 3p + -3p Combine like terms: 6p + -3p = 3p -24 + 3p = 12 + 3p + -3p Combine like terms: 3p + -3p = 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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