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Simplifying 4(2p + 1) + -7 = 26 + -3(-2p + -5) Reorder the terms: 4(1 + 2p) + -7 = 26 + -3(-2p + -5) (1 * 4 + 2p * 4) + -7 = 26 + -3(-2p + -5) (4 + 8p) + -7 = 26 + -3(-2p + -5) Reorder the terms: 4 + -7 + 8p = 26 + -3(-2p + -5) Combine like terms: 4 + -7 = -3 -3 + 8p = 26 + -3(-2p + -5) Reorder the terms: -3 + 8p = 26 + -3(-5 + -2p) -3 + 8p = 26 + (-5 * -3 + -2p * -3) -3 + 8p = 26 + (15 + 6p) Combine like terms: 26 + 15 = 41 -3 + 8p = 41 + 6p Solving -3 + 8p = 41 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -3 + 8p + -6p = 41 + 6p + -6p Combine like terms: 8p + -6p = 2p -3 + 2p = 41 + 6p + -6p Combine like terms: 6p + -6p = 0 -3 + 2p = 41 + 0 -3 + 2p = 41 Add '3' to each side of the equation. -3 + 3 + 2p = 41 + 3 Combine like terms: -3 + 3 = 0 0 + 2p = 41 + 3 2p = 41 + 3 Combine like terms: 41 + 3 = 44 2p = 44 Divide each side by '2'. p = 22 Simplifying p = 22
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