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Simplifying 15a + -9a + 7 + -4a + 5b + -3c = 0 Reorder the terms: 7 + 15a + -9a + -4a + 5b + -3c = 0 Combine like terms: 15a + -9a = 6a 7 + 6a + -4a + 5b + -3c = 0 Combine like terms: 6a + -4a = 2a 7 + 2a + 5b + -3c = 0 Solving 7 + 2a + 5b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2a + 5b + -7 + -3c = 0 + -7 Reorder the terms: 7 + -7 + 2a + 5b + -3c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2a + 5b + -3c = 0 + -7 2a + 5b + -3c = 0 + -7 Combine like terms: 0 + -7 = -7 2a + 5b + -3c = -7 Add '-5b' to each side of the equation. 2a + 5b + -5b + -3c = -7 + -5b Combine like terms: 5b + -5b = 0 2a + 0 + -3c = -7 + -5b 2a + -3c = -7 + -5b Add '3c' to each side of the equation. 2a + -3c + 3c = -7 + -5b + 3c Combine like terms: -3c + 3c = 0 2a + 0 = -7 + -5b + 3c 2a = -7 + -5b + 3c Divide each side by '2'. a = -3.5 + -2.5b + 1.5c Simplifying a = -3.5 + -2.5b + 1.5c
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