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Simplifying 5 + -6(7p + -5) = -7(4p + 3) Reorder the terms: 5 + -6(-5 + 7p) = -7(4p + 3) 5 + (-5 * -6 + 7p * -6) = -7(4p + 3) 5 + (30 + -42p) = -7(4p + 3) Combine like terms: 5 + 30 = 35 35 + -42p = -7(4p + 3) Reorder the terms: 35 + -42p = -7(3 + 4p) 35 + -42p = (3 * -7 + 4p * -7) 35 + -42p = (-21 + -28p) Solving 35 + -42p = -21 + -28p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '28p' to each side of the equation. 35 + -42p + 28p = -21 + -28p + 28p Combine like terms: -42p + 28p = -14p 35 + -14p = -21 + -28p + 28p Combine like terms: -28p + 28p = 0 35 + -14p = -21 + 0 35 + -14p = -21 Add '-35' to each side of the equation. 35 + -35 + -14p = -21 + -35 Combine like terms: 35 + -35 = 0 0 + -14p = -21 + -35 -14p = -21 + -35 Combine like terms: -21 + -35 = -56 -14p = -56 Divide each side by '-14'. p = 4 Simplifying p = 4
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