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Simplifying 4(3p + 2) + -5p = 4 + -2(p + -1) Reorder the terms: 4(2 + 3p) + -5p = 4 + -2(p + -1) (2 * 4 + 3p * 4) + -5p = 4 + -2(p + -1) (8 + 12p) + -5p = 4 + -2(p + -1) Combine like terms: 12p + -5p = 7p 8 + 7p = 4 + -2(p + -1) Reorder the terms: 8 + 7p = 4 + -2(-1 + p) 8 + 7p = 4 + (-1 * -2 + p * -2) 8 + 7p = 4 + (2 + -2p) Combine like terms: 4 + 2 = 6 8 + 7p = 6 + -2p Solving 8 + 7p = 6 + -2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '2p' to each side of the equation. 8 + 7p + 2p = 6 + -2p + 2p Combine like terms: 7p + 2p = 9p 8 + 9p = 6 + -2p + 2p Combine like terms: -2p + 2p = 0 8 + 9p = 6 + 0 8 + 9p = 6 Add '-8' to each side of the equation. 8 + -8 + 9p = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 9p = 6 + -8 9p = 6 + -8 Combine like terms: 6 + -8 = -2 9p = -2 Divide each side by '9'. p = -0.2222222222 Simplifying p = -0.2222222222
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