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Simplifying 4p + -3 = 2(p + 5) + -1(p + -2) Reorder the terms: -3 + 4p = 2(p + 5) + -1(p + -2) Reorder the terms: -3 + 4p = 2(5 + p) + -1(p + -2) -3 + 4p = (5 * 2 + p * 2) + -1(p + -2) -3 + 4p = (10 + 2p) + -1(p + -2) Reorder the terms: -3 + 4p = 10 + 2p + -1(-2 + p) -3 + 4p = 10 + 2p + (-2 * -1 + p * -1) -3 + 4p = 10 + 2p + (2 + -1p) Reorder the terms: -3 + 4p = 10 + 2 + 2p + -1p Combine like terms: 10 + 2 = 12 -3 + 4p = 12 + 2p + -1p Combine like terms: 2p + -1p = 1p -3 + 4p = 12 + 1p Solving -3 + 4p = 12 + 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. -3 + 4p + -1p = 12 + 1p + -1p Combine like terms: 4p + -1p = 3p -3 + 3p = 12 + 1p + -1p Combine like terms: 1p + -1p = 0 -3 + 3p = 12 + 0 -3 + 3p = 12 Add '3' to each side of the equation. -3 + 3 + 3p = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 3p = 12 + 3 3p = 12 + 3 Combine like terms: 12 + 3 = 15 3p = 15 Divide each side by '3'. p = 5 Simplifying p = 5
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