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Simplifying 57 = 3(v + -3) + -3(6p + 3) Reorder the terms: 57 = 3(-3 + v) + -3(6p + 3) 57 = (-3 * 3 + v * 3) + -3(6p + 3) 57 = (-9 + 3v) + -3(6p + 3) Reorder the terms: 57 = -9 + 3v + -3(3 + 6p) 57 = -9 + 3v + (3 * -3 + 6p * -3) 57 = -9 + 3v + (-9 + -18p) Reorder the terms: 57 = -9 + -9 + -18p + 3v Combine like terms: -9 + -9 = -18 57 = -18 + -18p + 3v Solving 57 = -18 + -18p + 3v Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. 57 + 18p = -18 + -18p + 18p + 3v Combine like terms: -18p + 18p = 0 57 + 18p = -18 + 0 + 3v 57 + 18p = -18 + 3v Add '-57' to each side of the equation. 57 + -57 + 18p = -18 + -57 + 3v Combine like terms: 57 + -57 = 0 0 + 18p = -18 + -57 + 3v 18p = -18 + -57 + 3v Combine like terms: -18 + -57 = -75 18p = -75 + 3v Divide each side by '18'. p = -4.166666667 + 0.1666666667v Simplifying p = -4.166666667 + 0.1666666667v
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