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Simplifying 5(2a + 3b + 4c + 9) = 0 Reorder the terms: 5(9 + 2a + 3b + 4c) = 0 (9 * 5 + 2a * 5 + 3b * 5 + 4c * 5) = 0 (45 + 10a + 15b + 20c) = 0 Solving 45 + 10a + 15b + 20c = 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 + 10a + 15b + -45 + 20c = 0 + -45 Reorder the terms: 45 + -45 + 10a + 15b + 20c = 0 + -45 Combine like terms: 45 + -45 = 0 0 + 10a + 15b + 20c = 0 + -45 10a + 15b + 20c = 0 + -45 Combine like terms: 0 + -45 = -45 10a + 15b + 20c = -45 Add '-15b' to each side of the equation. 10a + 15b + -15b + 20c = -45 + -15b Combine like terms: 15b + -15b = 0 10a + 0 + 20c = -45 + -15b 10a + 20c = -45 + -15b Add '-20c' to each side of the equation. 10a + 20c + -20c = -45 + -15b + -20c Combine like terms: 20c + -20c = 0 10a + 0 = -45 + -15b + -20c 10a = -45 + -15b + -20c Divide each side by '10'. a = -4.5 + -1.5b + -2c Simplifying a = -4.5 + -1.5b + -2c
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