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