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Simplifying 6p + -5(2p + -3) = 11 + 4(3 + -2p) Reorder the terms: 6p + -5(-3 + 2p) = 11 + 4(3 + -2p) 6p + (-3 * -5 + 2p * -5) = 11 + 4(3 + -2p) 6p + (15 + -10p) = 11 + 4(3 + -2p) Reorder the terms: 15 + 6p + -10p = 11 + 4(3 + -2p) Combine like terms: 6p + -10p = -4p 15 + -4p = 11 + 4(3 + -2p) 15 + -4p = 11 + (3 * 4 + -2p * 4) 15 + -4p = 11 + (12 + -8p) Combine like terms: 11 + 12 = 23 15 + -4p = 23 + -8p Solving 15 + -4p = 23 + -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. 15 + -4p + 8p = 23 + -8p + 8p Combine like terms: -4p + 8p = 4p 15 + 4p = 23 + -8p + 8p Combine like terms: -8p + 8p = 0 15 + 4p = 23 + 0 15 + 4p = 23 Add '-15' to each side of the equation. 15 + -15 + 4p = 23 + -15 Combine like terms: 15 + -15 = 0 0 + 4p = 23 + -15 4p = 23 + -15 Combine like terms: 23 + -15 = 8 4p = 8 Divide each side by '4'. p = 2 Simplifying p = 2
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