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Simplifying 3(p + -2) + -7(p + 1) = -1 Reorder the terms: 3(-2 + p) + -7(p + 1) = -1 (-2 * 3 + p * 3) + -7(p + 1) = -1 (-6 + 3p) + -7(p + 1) = -1 Reorder the terms: -6 + 3p + -7(1 + p) = -1 -6 + 3p + (1 * -7 + p * -7) = -1 -6 + 3p + (-7 + -7p) = -1 Reorder the terms: -6 + -7 + 3p + -7p = -1 Combine like terms: -6 + -7 = -13 -13 + 3p + -7p = -1 Combine like terms: 3p + -7p = -4p -13 + -4p = -1 Solving -13 + -4p = -1 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -4p = -1 + 13 Combine like terms: -13 + 13 = 0 0 + -4p = -1 + 13 -4p = -1 + 13 Combine like terms: -1 + 13 = 12 -4p = 12 Divide each side by '-4'. p = -3 Simplifying p = -3
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