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Simplifying -7(4p + -7) + 2(7p + -4) = -43 Reorder the terms: -7(-7 + 4p) + 2(7p + -4) = -43 (-7 * -7 + 4p * -7) + 2(7p + -4) = -43 (49 + -28p) + 2(7p + -4) = -43 Reorder the terms: 49 + -28p + 2(-4 + 7p) = -43 49 + -28p + (-4 * 2 + 7p * 2) = -43 49 + -28p + (-8 + 14p) = -43 Reorder the terms: 49 + -8 + -28p + 14p = -43 Combine like terms: 49 + -8 = 41 41 + -28p + 14p = -43 Combine like terms: -28p + 14p = -14p 41 + -14p = -43 Solving 41 + -14p = -43 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + -14p = -43 + -41 Combine like terms: 41 + -41 = 0 0 + -14p = -43 + -41 -14p = -43 + -41 Combine like terms: -43 + -41 = -84 -14p = -84 Divide each side by '-14'. p = 6 Simplifying p = 6
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