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Simplifying 3(p + -2) = 3(-14 + -1p) Reorder the terms: 3(-2 + p) = 3(-14 + -1p) (-2 * 3 + p * 3) = 3(-14 + -1p) (-6 + 3p) = 3(-14 + -1p) -6 + 3p = (-14 * 3 + -1p * 3) -6 + 3p = (-42 + -3p) Solving -6 + 3p = -42 + -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 = -42 + -3p + 3p Combine like terms: 3p + 3p = 6p -6 + 6p = -42 + -3p + 3p Combine like terms: -3p + 3p = 0 -6 + 6p = -42 + 0 -6 + 6p = -42 Add '6' to each side of the equation. -6 + 6 + 6p = -42 + 6 Combine like terms: -6 + 6 = 0 0 + 6p = -42 + 6 6p = -42 + 6 Combine like terms: -42 + 6 = -36 6p = -36 Divide each side by '6'. p = -6 Simplifying p = -6
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