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Simplifying 3c(5a + 2b + -1) = 0 Reorder the terms: 3c(-1 + 5a + 2b) = 0 (-1 * 3c + 5a * 3c + 2b * 3c) = 0 Reorder the terms: (15ac + 6bc + -3c) = 0 (15ac + 6bc + -3c) = 0 Solving 15ac + 6bc + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6bc' to each side of the equation. 15ac + 6bc + -6bc + -3c = 0 + -6bc Combine like terms: 6bc + -6bc = 0 15ac + 0 + -3c = 0 + -6bc 15ac + -3c = 0 + -6bc Remove the zero: 15ac + -3c = -6bc Add '3c' to each side of the equation. 15ac + -3c + 3c = -6bc + 3c Combine like terms: -3c + 3c = 0 15ac + 0 = -6bc + 3c 15ac = -6bc + 3c Divide each side by '15c'. a = -0.4b + 0.2 Simplifying a = -0.4b + 0.2 Reorder the terms: a = 0.2 + -0.4b
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