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Simplifying 7(7p + -5) + -6(3p + 6) = 71 Reorder the terms: 7(-5 + 7p) + -6(3p + 6) = 71 (-5 * 7 + 7p * 7) + -6(3p + 6) = 71 (-35 + 49p) + -6(3p + 6) = 71 Reorder the terms: -35 + 49p + -6(6 + 3p) = 71 -35 + 49p + (6 * -6 + 3p * -6) = 71 -35 + 49p + (-36 + -18p) = 71 Reorder the terms: -35 + -36 + 49p + -18p = 71 Combine like terms: -35 + -36 = -71 -71 + 49p + -18p = 71 Combine like terms: 49p + -18p = 31p -71 + 31p = 71 Solving -71 + 31p = 71 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '71' to each side of the equation. -71 + 71 + 31p = 71 + 71 Combine like terms: -71 + 71 = 0 0 + 31p = 71 + 71 31p = 71 + 71 Combine like terms: 71 + 71 = 142 31p = 142 Divide each side by '31'. p = 4.580645161 Simplifying p = 4.580645161
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