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Simplifying 2 + 2p + 3 = 5(p + -1) + -2(6p + -5) Reorder the terms: 2 + 3 + 2p = 5(p + -1) + -2(6p + -5) Combine like terms: 2 + 3 = 5 5 + 2p = 5(p + -1) + -2(6p + -5) Reorder the terms: 5 + 2p = 5(-1 + p) + -2(6p + -5) 5 + 2p = (-1 * 5 + p * 5) + -2(6p + -5) 5 + 2p = (-5 + 5p) + -2(6p + -5) Reorder the terms: 5 + 2p = -5 + 5p + -2(-5 + 6p) 5 + 2p = -5 + 5p + (-5 * -2 + 6p * -2) 5 + 2p = -5 + 5p + (10 + -12p) Reorder the terms: 5 + 2p = -5 + 10 + 5p + -12p Combine like terms: -5 + 10 = 5 5 + 2p = 5 + 5p + -12p Combine like terms: 5p + -12p = -7p 5 + 2p = 5 + -7p Add '-5' to each side of the equation. 5 + -5 + 2p = 5 + -5 + -7p Combine like terms: 5 + -5 = 0 0 + 2p = 5 + -5 + -7p 2p = 5 + -5 + -7p Combine like terms: 5 + -5 = 0 2p = 0 + -7p 2p = -7p Solving 2p = -7p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '7p' to each side of the equation. 2p + 7p = -7p + 7p Combine like terms: 2p + 7p = 9p 9p = -7p + 7p Combine like terms: -7p + 7p = 0 9p = 0 Divide each side by '9'. p = 0 Simplifying p = 0
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