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Simplifying 7 + -1(4p + 3) = 3(p + 2) + -1(2p + 3) Reorder the terms: 7 + -1(3 + 4p) = 3(p + 2) + -1(2p + 3) 7 + (3 * -1 + 4p * -1) = 3(p + 2) + -1(2p + 3) 7 + (-3 + -4p) = 3(p + 2) + -1(2p + 3) Combine like terms: 7 + -3 = 4 4 + -4p = 3(p + 2) + -1(2p + 3) Reorder the terms: 4 + -4p = 3(2 + p) + -1(2p + 3) 4 + -4p = (2 * 3 + p * 3) + -1(2p + 3) 4 + -4p = (6 + 3p) + -1(2p + 3) Reorder the terms: 4 + -4p = 6 + 3p + -1(3 + 2p) 4 + -4p = 6 + 3p + (3 * -1 + 2p * -1) 4 + -4p = 6 + 3p + (-3 + -2p) Reorder the terms: 4 + -4p = 6 + -3 + 3p + -2p Combine like terms: 6 + -3 = 3 4 + -4p = 3 + 3p + -2p Combine like terms: 3p + -2p = 1p 4 + -4p = 3 + 1p Solving 4 + -4p = 3 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 4 + -4p + -1p = 3 + 1p + -1p Combine like terms: -4p + -1p = -5p 4 + -5p = 3 + 1p + -1p Combine like terms: 1p + -1p = 0 4 + -5p = 3 + 0 4 + -5p = 3 Add '-4' to each side of the equation. 4 + -4 + -5p = 3 + -4 Combine like terms: 4 + -4 = 0 0 + -5p = 3 + -4 -5p = 3 + -4 Combine like terms: 3 + -4 = -1 -5p = -1 Divide each side by '-5'. p = 0.2 Simplifying p = 0.2
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