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Simplifying 5(1 + 6p) + -8(7 + p) = -29 (1 * 5 + 6p * 5) + -8(7 + p) = -29 (5 + 30p) + -8(7 + p) = -29 5 + 30p + (7 * -8 + p * -8) = -29 5 + 30p + (-56 + -8p) = -29 Reorder the terms: 5 + -56 + 30p + -8p = -29 Combine like terms: 5 + -56 = -51 -51 + 30p + -8p = -29 Combine like terms: 30p + -8p = 22p -51 + 22p = -29 Solving -51 + 22p = -29 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 22p = -29 + 51 Combine like terms: -51 + 51 = 0 0 + 22p = -29 + 51 22p = -29 + 51 Combine like terms: -29 + 51 = 22 22p = 22 Divide each side by '22'. p = 1 Simplifying p = 1
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