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Simplifying 4p + -2 = -4 + -2(2p + 3) Reorder the terms: -2 + 4p = -4 + -2(2p + 3) Reorder the terms: -2 + 4p = -4 + -2(3 + 2p) -2 + 4p = -4 + (3 * -2 + 2p * -2) -2 + 4p = -4 + (-6 + -4p) Combine like terms: -4 + -6 = -10 -2 + 4p = -10 + -4p Solving -2 + 4p = -10 + -4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '4p' to each side of the equation. -2 + 4p + 4p = -10 + -4p + 4p Combine like terms: 4p + 4p = 8p -2 + 8p = -10 + -4p + 4p Combine like terms: -4p + 4p = 0 -2 + 8p = -10 + 0 -2 + 8p = -10 Add '2' to each side of the equation. -2 + 2 + 8p = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 8p = -10 + 2 8p = -10 + 2 Combine like terms: -10 + 2 = -8 8p = -8 Divide each side by '8'. p = -1 Simplifying p = -1
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