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Simplifying 4p + -1 = 3(p + -1) + -1(2p + 4) Reorder the terms: -1 + 4p = 3(p + -1) + -1(2p + 4) Reorder the terms: -1 + 4p = 3(-1 + p) + -1(2p + 4) -1 + 4p = (-1 * 3 + p * 3) + -1(2p + 4) -1 + 4p = (-3 + 3p) + -1(2p + 4) Reorder the terms: -1 + 4p = -3 + 3p + -1(4 + 2p) -1 + 4p = -3 + 3p + (4 * -1 + 2p * -1) -1 + 4p = -3 + 3p + (-4 + -2p) Reorder the terms: -1 + 4p = -3 + -4 + 3p + -2p Combine like terms: -3 + -4 = -7 -1 + 4p = -7 + 3p + -2p Combine like terms: 3p + -2p = 1p -1 + 4p = -7 + 1p Solving -1 + 4p = -7 + 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. -1 + 4p + -1p = -7 + 1p + -1p Combine like terms: 4p + -1p = 3p -1 + 3p = -7 + 1p + -1p Combine like terms: 1p + -1p = 0 -1 + 3p = -7 + 0 -1 + 3p = -7 Add '1' to each side of the equation. -1 + 1 + 3p = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 3p = -7 + 1 3p = -7 + 1 Combine like terms: -7 + 1 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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