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Simplifying 3x + -1(p + -71) + -5x = 42 + -16x + 31p Reorder the terms: 3x + -1(-71 + p) + -5x = 42 + -16x + 31p 3x + (-71 * -1 + p * -1) + -5x = 42 + -16x + 31p 3x + (71 + -1p) + -5x = 42 + -16x + 31p Reorder the terms: 71 + -1p + 3x + -5x = 42 + -16x + 31p Combine like terms: 3x + -5x = -2x 71 + -1p + -2x = 42 + -16x + 31p Reorder the terms: 71 + -1p + -2x = 42 + 31p + -16x Solving 71 + -1p + -2x = 42 + 31p + -16x Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-31p' to each side of the equation. 71 + -1p + -31p + -2x = 42 + 31p + -31p + -16x Combine like terms: -1p + -31p = -32p 71 + -32p + -2x = 42 + 31p + -31p + -16x Combine like terms: 31p + -31p = 0 71 + -32p + -2x = 42 + 0 + -16x 71 + -32p + -2x = 42 + -16x Add '-71' to each side of the equation. 71 + -32p + -71 + -2x = 42 + -71 + -16x Reorder the terms: 71 + -71 + -32p + -2x = 42 + -71 + -16x Combine like terms: 71 + -71 = 0 0 + -32p + -2x = 42 + -71 + -16x -32p + -2x = 42 + -71 + -16x Combine like terms: 42 + -71 = -29 -32p + -2x = -29 + -16x Add '2x' to each side of the equation. -32p + -2x + 2x = -29 + -16x + 2x Combine like terms: -2x + 2x = 0 -32p + 0 = -29 + -16x + 2x -32p = -29 + -16x + 2x Combine like terms: -16x + 2x = -14x -32p = -29 + -14x Divide each side by '-32'. p = 0.90625 + 0.4375x Simplifying p = 0.90625 + 0.4375x
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