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Simplifying -11 + p = -8(7p + -6) + -2 Reorder the terms: -11 + p = -8(-6 + 7p) + -2 -11 + p = (-6 * -8 + 7p * -8) + -2 -11 + p = (48 + -56p) + -2 Reorder the terms: -11 + p = 48 + -2 + -56p Combine like terms: 48 + -2 = 46 -11 + p = 46 + -56p Solving -11 + p = 46 + -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. -11 + p + 56p = 46 + -56p + 56p Combine like terms: p + 56p = 57p -11 + 57p = 46 + -56p + 56p Combine like terms: -56p + 56p = 0 -11 + 57p = 46 + 0 -11 + 57p = 46 Add '11' to each side of the equation. -11 + 11 + 57p = 46 + 11 Combine like terms: -11 + 11 = 0 0 + 57p = 46 + 11 57p = 46 + 11 Combine like terms: 46 + 11 = 57 57p = 57 Divide each side by '57'. p = 1 Simplifying p = 1
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