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Simplifying 7(1 + 2p) = -35 + 7p (1 * 7 + 2p * 7) = -35 + 7p (7 + 14p) = -35 + 7p Solving 7 + 14p = -35 + 7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7p' to each side of the equation. 7 + 14p + -7p = -35 + 7p + -7p Combine like terms: 14p + -7p = 7p 7 + 7p = -35 + 7p + -7p Combine like terms: 7p + -7p = 0 7 + 7p = -35 + 0 7 + 7p = -35 Add '-7' to each side of the equation. 7 + -7 + 7p = -35 + -7 Combine like terms: 7 + -7 = 0 0 + 7p = -35 + -7 7p = -35 + -7 Combine like terms: -35 + -7 = -42 7p = -42 Divide each side by '7'. p = -6 Simplifying p = -6
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