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Simplifying -6 + -1(21) = 3p + -12 Multiply -1 * 21 -6 + -21 = 3p + -12 Combine like terms: -6 + -21 = -27 -27 = 3p + -12 Reorder the terms: -27 = -12 + 3p Solving -27 = -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. -27 + -3p = -12 + 3p + -3p Combine like terms: 3p + -3p = 0 -27 + -3p = -12 + 0 -27 + -3p = -12 Add '27' to each side of the equation. -27 + 27 + -3p = -12 + 27 Combine like terms: -27 + 27 = 0 0 + -3p = -12 + 27 -3p = -12 + 27 Combine like terms: -12 + 27 = 15 -3p = 15 Divide each side by '-3'. p = -5 Simplifying p = -5
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