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Simplifying 5(8p + -5) + -3(6p + -8) = -67 Reorder the terms: 5(-5 + 8p) + -3(6p + -8) = -67 (-5 * 5 + 8p * 5) + -3(6p + -8) = -67 (-25 + 40p) + -3(6p + -8) = -67 Reorder the terms: -25 + 40p + -3(-8 + 6p) = -67 -25 + 40p + (-8 * -3 + 6p * -3) = -67 -25 + 40p + (24 + -18p) = -67 Reorder the terms: -25 + 24 + 40p + -18p = -67 Combine like terms: -25 + 24 = -1 -1 + 40p + -18p = -67 Combine like terms: 40p + -18p = 22p -1 + 22p = -67 Solving -1 + 22p = -67 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 22p = -67 + 1 Combine like terms: -1 + 1 = 0 0 + 22p = -67 + 1 22p = -67 + 1 Combine like terms: -67 + 1 = -66 22p = -66 Divide each side by '22'. p = -3 Simplifying p = -3
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