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Simplifying 4(p + -2) + -1(p + 3) = p + -1 Reorder the terms: 4(-2 + p) + -1(p + 3) = p + -1 (-2 * 4 + p * 4) + -1(p + 3) = p + -1 (-8 + 4p) + -1(p + 3) = p + -1 Reorder the terms: -8 + 4p + -1(3 + p) = p + -1 -8 + 4p + (3 * -1 + p * -1) = p + -1 -8 + 4p + (-3 + -1p) = p + -1 Reorder the terms: -8 + -3 + 4p + -1p = p + -1 Combine like terms: -8 + -3 = -11 -11 + 4p + -1p = p + -1 Combine like terms: 4p + -1p = 3p -11 + 3p = p + -1 Reorder the terms: -11 + 3p = -1 + p Solving -11 + 3p = -1 + p 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. -11 + 3p + -1p = -1 + p + -1p Combine like terms: 3p + -1p = 2p -11 + 2p = -1 + p + -1p Combine like terms: p + -1p = 0 -11 + 2p = -1 + 0 -11 + 2p = -1 Add '11' to each side of the equation. -11 + 11 + 2p = -1 + 11 Combine like terms: -11 + 11 = 0 0 + 2p = -1 + 11 2p = -1 + 11 Combine like terms: -1 + 11 = 10 2p = 10 Divide each side by '2'. p = 5 Simplifying p = 5
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