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Simplifying 4p + -1(3p + 2r + -4) + 3 + -1r = 0 Reorder the terms: 4p + -1(-4 + 3p + 2r) + 3 + -1r = 0 4p + (-4 * -1 + 3p * -1 + 2r * -1) + 3 + -1r = 0 4p + (4 + -3p + -2r) + 3 + -1r = 0 Reorder the terms: 4 + 3 + 4p + -3p + -2r + -1r = 0 Combine like terms: 4 + 3 = 7 7 + 4p + -3p + -2r + -1r = 0 Combine like terms: 4p + -3p = 1p 7 + 1p + -2r + -1r = 0 Combine like terms: -2r + -1r = -3r 7 + 1p + -3r = 0 Solving 7 + 1p + -3r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 1p + -7 + -3r = 0 + -7 Reorder the terms: 7 + -7 + 1p + -3r = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 1p + -3r = 0 + -7 1p + -3r = 0 + -7 Combine like terms: 0 + -7 = -7 1p + -3r = -7 Add '3r' to each side of the equation. 1p + -3r + 3r = -7 + 3r Combine like terms: -3r + 3r = 0 1p + 0 = -7 + 3r 1p = -7 + 3r Divide each side by '1'. p = -7 + 3r Simplifying p = -7 + 3r
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