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Simplifying 4p + -2 = -3(p + -3) + -1(5 + -1p) Reorder the terms: -2 + 4p = -3(p + -3) + -1(5 + -1p) Reorder the terms: -2 + 4p = -3(-3 + p) + -1(5 + -1p) -2 + 4p = (-3 * -3 + p * -3) + -1(5 + -1p) -2 + 4p = (9 + -3p) + -1(5 + -1p) -2 + 4p = 9 + -3p + (5 * -1 + -1p * -1) -2 + 4p = 9 + -3p + (-5 + 1p) Reorder the terms: -2 + 4p = 9 + -5 + -3p + 1p Combine like terms: 9 + -5 = 4 -2 + 4p = 4 + -3p + 1p Combine like terms: -3p + 1p = -2p -2 + 4p = 4 + -2p Solving -2 + 4p = 4 + -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. -2 + 4p + 2p = 4 + -2p + 2p Combine like terms: 4p + 2p = 6p -2 + 6p = 4 + -2p + 2p Combine like terms: -2p + 2p = 0 -2 + 6p = 4 + 0 -2 + 6p = 4 Add '2' to each side of the equation. -2 + 2 + 6p = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 6p = 4 + 2 6p = 4 + 2 Combine like terms: 4 + 2 = 6 6p = 6 Divide each side by '6'. p = 1 Simplifying p = 1
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