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Simplifying 6(-1p + 6) + -7(4p + -5) = p + 6 + -5p Reorder the terms: 6(6 + -1p) + -7(4p + -5) = p + 6 + -5p (6 * 6 + -1p * 6) + -7(4p + -5) = p + 6 + -5p (36 + -6p) + -7(4p + -5) = p + 6 + -5p Reorder the terms: 36 + -6p + -7(-5 + 4p) = p + 6 + -5p 36 + -6p + (-5 * -7 + 4p * -7) = p + 6 + -5p 36 + -6p + (35 + -28p) = p + 6 + -5p Reorder the terms: 36 + 35 + -6p + -28p = p + 6 + -5p Combine like terms: 36 + 35 = 71 71 + -6p + -28p = p + 6 + -5p Combine like terms: -6p + -28p = -34p 71 + -34p = p + 6 + -5p Reorder the terms: 71 + -34p = 6 + p + -5p Combine like terms: p + -5p = -4p 71 + -34p = 6 + -4p Solving 71 + -34p = 6 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. 71 + -34p + 4p = 6 + -4p + 4p Combine like terms: -34p + 4p = -30p 71 + -30p = 6 + -4p + 4p Combine like terms: -4p + 4p = 0 71 + -30p = 6 + 0 71 + -30p = 6 Add '-71' to each side of the equation. 71 + -71 + -30p = 6 + -71 Combine like terms: 71 + -71 = 0 0 + -30p = 6 + -71 -30p = 6 + -71 Combine like terms: 6 + -71 = -65 -30p = -65 Divide each side by '-30'. p = 2.166666667 Simplifying p = 2.166666667
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