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Simplifying 7(1 + 5p) = -30 + -2p (1 * 7 + 5p * 7) = -30 + -2p (7 + 35p) = -30 + -2p Solving 7 + 35p = -30 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 7 + 35p + 2p = -30 + -2p + 2p Combine like terms: 35p + 2p = 37p 7 + 37p = -30 + -2p + 2p Combine like terms: -2p + 2p = 0 7 + 37p = -30 + 0 7 + 37p = -30 Add '-7' to each side of the equation. 7 + -7 + 37p = -30 + -7 Combine like terms: 7 + -7 = 0 0 + 37p = -30 + -7 37p = -30 + -7 Combine like terms: -30 + -7 = -37 37p = -37 Divide each side by '37'. p = -1 Simplifying p = -1
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