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Simplifying 14 = 4(7 + -8p) + -6(4p + -7) 14 = (7 * 4 + -8p * 4) + -6(4p + -7) 14 = (28 + -32p) + -6(4p + -7) Reorder the terms: 14 = 28 + -32p + -6(-7 + 4p) 14 = 28 + -32p + (-7 * -6 + 4p * -6) 14 = 28 + -32p + (42 + -24p) Reorder the terms: 14 = 28 + 42 + -32p + -24p Combine like terms: 28 + 42 = 70 14 = 70 + -32p + -24p Combine like terms: -32p + -24p = -56p 14 = 70 + -56p Solving 14 = 70 + -56p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '56p' to each side of the equation. 14 + 56p = 70 + -56p + 56p Combine like terms: -56p + 56p = 0 14 + 56p = 70 + 0 14 + 56p = 70 Add '-14' to each side of the equation. 14 + -14 + 56p = 70 + -14 Combine like terms: 14 + -14 = 0 0 + 56p = 70 + -14 56p = 70 + -14 Combine like terms: 70 + -14 = 56 56p = 56 Divide each side by '56'. p = 1 Simplifying p = 1
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