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Simplifying 4 + -7p = -2p + -2(4p + 7) Reorder the terms: 4 + -7p = -2p + -2(7 + 4p) 4 + -7p = -2p + (7 * -2 + 4p * -2) 4 + -7p = -2p + (-14 + -8p) Reorder the terms: 4 + -7p = -14 + -2p + -8p Combine like terms: -2p + -8p = -10p 4 + -7p = -14 + -10p Solving 4 + -7p = -14 + -10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '10p' to each side of the equation. 4 + -7p + 10p = -14 + -10p + 10p Combine like terms: -7p + 10p = 3p 4 + 3p = -14 + -10p + 10p Combine like terms: -10p + 10p = 0 4 + 3p = -14 + 0 4 + 3p = -14 Add '-4' to each side of the equation. 4 + -4 + 3p = -14 + -4 Combine like terms: 4 + -4 = 0 0 + 3p = -14 + -4 3p = -14 + -4 Combine like terms: -14 + -4 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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