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Simplifying 3x + -5(x + 4) = 2(p + -1x) Reorder the terms: 3x + -5(4 + x) = 2(p + -1x) 3x + (4 * -5 + x * -5) = 2(p + -1x) 3x + (-20 + -5x) = 2(p + -1x) Reorder the terms: -20 + 3x + -5x = 2(p + -1x) Combine like terms: 3x + -5x = -2x -20 + -2x = 2(p + -1x) -20 + -2x = (p * 2 + -1x * 2) -20 + -2x = (2p + -2x) Add '2x' to each side of the equation. -20 + -2x + 2x = 2p + -2x + 2x Combine like terms: -2x + 2x = 0 -20 + 0 = 2p + -2x + 2x -20 = 2p + -2x + 2x Combine like terms: -2x + 2x = 0 -20 = 2p + 0 -20 = 2p Solving -20 = 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. -20 + -2p = 2p + -2p Combine like terms: 2p + -2p = 0 -20 + -2p = 0 Add '20' to each side of the equation. -20 + 20 + -2p = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -2p = 0 + 20 -2p = 0 + 20 Combine like terms: 0 + 20 = 20 -2p = 20 Divide each side by '-2'. p = -10 Simplifying p = -10
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