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Simplifying 6 + -2p = -4(2p + -3) Reorder the terms: 6 + -2p = -4(-3 + 2p) 6 + -2p = (-3 * -4 + 2p * -4) 6 + -2p = (12 + -8p) Solving 6 + -2p = 12 + -8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '8p' to each side of the equation. 6 + -2p + 8p = 12 + -8p + 8p Combine like terms: -2p + 8p = 6p 6 + 6p = 12 + -8p + 8p Combine like terms: -8p + 8p = 0 6 + 6p = 12 + 0 6 + 6p = 12 Add '-6' to each side of the equation. 6 + -6 + 6p = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 6p = 12 + -6 6p = 12 + -6 Combine like terms: 12 + -6 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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