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Simplifying 3(4 + -1p) = 18 + -6p (4 * 3 + -1p * 3) = 18 + -6p (12 + -3p) = 18 + -6p Solving 12 + -3p = 18 + -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. 12 + -3p + 6p = 18 + -6p + 6p Combine like terms: -3p + 6p = 3p 12 + 3p = 18 + -6p + 6p Combine like terms: -6p + 6p = 0 12 + 3p = 18 + 0 12 + 3p = 18 Add '-12' to each side of the equation. 12 + -12 + 3p = 18 + -12 Combine like terms: 12 + -12 = 0 0 + 3p = 18 + -12 3p = 18 + -12 Combine like terms: 18 + -12 = 6 3p = 6 Divide each side by '3'. p = 2 Simplifying p = 2
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