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Simplifying 9(3a + 2b + 3c + -5) = 0 Reorder the terms: 9(-5 + 3a + 2b + 3c) = 0 (-5 * 9 + 3a * 9 + 2b * 9 + 3c * 9) = 0 (-45 + 27a + 18b + 27c) = 0 Solving -45 + 27a + 18b + 27c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 27a + 18b + 45 + 27c = 0 + 45 Reorder the terms: -45 + 45 + 27a + 18b + 27c = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 27a + 18b + 27c = 0 + 45 27a + 18b + 27c = 0 + 45 Combine like terms: 0 + 45 = 45 27a + 18b + 27c = 45 Add '-18b' to each side of the equation. 27a + 18b + -18b + 27c = 45 + -18b Combine like terms: 18b + -18b = 0 27a + 0 + 27c = 45 + -18b 27a + 27c = 45 + -18b Add '-27c' to each side of the equation. 27a + 27c + -27c = 45 + -18b + -27c Combine like terms: 27c + -27c = 0 27a + 0 = 45 + -18b + -27c 27a = 45 + -18b + -27c Divide each side by '27'. a = 1.666666667 + -0.6666666667b + -1c Simplifying a = 1.666666667 + -0.6666666667b + -1c
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