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Simplifying -4p + -2 = -2(5p + 7) Reorder the terms: -2 + -4p = -2(5p + 7) Reorder the terms: -2 + -4p = -2(7 + 5p) -2 + -4p = (7 * -2 + 5p * -2) -2 + -4p = (-14 + -10p) Solving -2 + -4p = -14 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. -2 + -4p + 10p = -14 + -10p + 10p Combine like terms: -4p + 10p = 6p -2 + 6p = -14 + -10p + 10p Combine like terms: -10p + 10p = 0 -2 + 6p = -14 + 0 -2 + 6p = -14 Add '2' to each side of the equation. -2 + 2 + 6p = -14 + 2 Combine like terms: -2 + 2 = 0 0 + 6p = -14 + 2 6p = -14 + 2 Combine like terms: -14 + 2 = -12 6p = -12 Divide each side by '6'. p = -2 Simplifying p = -2
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