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Simplifying 2p + 5q + -6(2p + -8q + 3r) = 0 2p + 5q + (2p * -6 + -8q * -6 + 3r * -6) = 0 2p + 5q + (-12p + 48q + -18r) = 0 Reorder the terms: 2p + -12p + 5q + 48q + -18r = 0 Combine like terms: 2p + -12p = -10p -10p + 5q + 48q + -18r = 0 Combine like terms: 5q + 48q = 53q -10p + 53q + -18r = 0 Solving -10p + 53q + -18r = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-53q' to each side of the equation. -10p + 53q + -53q + -18r = 0 + -53q Combine like terms: 53q + -53q = 0 -10p + 0 + -18r = 0 + -53q -10p + -18r = 0 + -53q Remove the zero: -10p + -18r = -53q Add '18r' to each side of the equation. -10p + -18r + 18r = -53q + 18r Combine like terms: -18r + 18r = 0 -10p + 0 = -53q + 18r -10p = -53q + 18r Divide each side by '-10'. p = 5.3q + -1.8r Simplifying p = 5.3q + -1.8r
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