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Simplifying -65 = -5(-1 + -6p) + -8(-7p + -2) -65 = (-1 * -5 + -6p * -5) + -8(-7p + -2) -65 = (5 + 30p) + -8(-7p + -2) Reorder the terms: -65 = 5 + 30p + -8(-2 + -7p) -65 = 5 + 30p + (-2 * -8 + -7p * -8) -65 = 5 + 30p + (16 + 56p) Reorder the terms: -65 = 5 + 16 + 30p + 56p Combine like terms: 5 + 16 = 21 -65 = 21 + 30p + 56p Combine like terms: 30p + 56p = 86p -65 = 21 + 86p Solving -65 = 21 + 86p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-86p' to each side of the equation. -65 + -86p = 21 + 86p + -86p Combine like terms: 86p + -86p = 0 -65 + -86p = 21 + 0 -65 + -86p = 21 Add '65' to each side of the equation. -65 + 65 + -86p = 21 + 65 Combine like terms: -65 + 65 = 0 0 + -86p = 21 + 65 -86p = 21 + 65 Combine like terms: 21 + 65 = 86 -86p = 86 Divide each side by '-86'. p = -1 Simplifying p = -1
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