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Simplifying 3(2p + -1) + 23 = -4p + 30 Reorder the terms: 3(-1 + 2p) + 23 = -4p + 30 (-1 * 3 + 2p * 3) + 23 = -4p + 30 (-3 + 6p) + 23 = -4p + 30 Reorder the terms: -3 + 23 + 6p = -4p + 30 Combine like terms: -3 + 23 = 20 20 + 6p = -4p + 30 Reorder the terms: 20 + 6p = 30 + -4p Solving 20 + 6p = 30 + -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. 20 + 6p + 4p = 30 + -4p + 4p Combine like terms: 6p + 4p = 10p 20 + 10p = 30 + -4p + 4p Combine like terms: -4p + 4p = 0 20 + 10p = 30 + 0 20 + 10p = 30 Add '-20' to each side of the equation. 20 + -20 + 10p = 30 + -20 Combine like terms: 20 + -20 = 0 0 + 10p = 30 + -20 10p = 30 + -20 Combine like terms: 30 + -20 = 10 10p = 10 Divide each side by '10'. p = 1 Simplifying p = 1
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