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Simplifying -84 + -3(7p + -2) + -8p = -107 Reorder the terms: -84 + -3(-2 + 7p) + -8p = -107 -84 + (-2 * -3 + 7p * -3) + -8p = -107 -84 + (6 + -21p) + -8p = -107 Combine like terms: -84 + 6 = -78 -78 + -21p + -8p = -107 Combine like terms: -21p + -8p = -29p -78 + -29p = -107 Solving -78 + -29p = -107 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '78' to each side of the equation. -78 + 78 + -29p = -107 + 78 Combine like terms: -78 + 78 = 0 0 + -29p = -107 + 78 -29p = -107 + 78 Combine like terms: -107 + 78 = -29 -29p = -29 Divide each side by '-29'. p = 1 Simplifying p = 1
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