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Simplifying -18(9a + -3b + 4c) = 0 (9a * -18 + -3b * -18 + 4c * -18) = 0 (-162a + 54b + -72c) = 0 Solving -162a + 54b + -72c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-54b' to each side of the equation. -162a + 54b + -54b + -72c = 0 + -54b Combine like terms: 54b + -54b = 0 -162a + 0 + -72c = 0 + -54b -162a + -72c = 0 + -54b Remove the zero: -162a + -72c = -54b Add '72c' to each side of the equation. -162a + -72c + 72c = -54b + 72c Combine like terms: -72c + 72c = 0 -162a + 0 = -54b + 72c -162a = -54b + 72c Divide each side by '-162'. a = 0.3333333333b + -0.4444444444c Simplifying a = 0.3333333333b + -0.4444444444c
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