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Simplifying 15a + 19b + 2c + 2c + -5b + -2a = 0 Reorder the terms: 15a + -2a + 19b + -5b + 2c + 2c = 0 Combine like terms: 15a + -2a = 13a 13a + 19b + -5b + 2c + 2c = 0 Combine like terms: 19b + -5b = 14b 13a + 14b + 2c + 2c = 0 Combine like terms: 2c + 2c = 4c 13a + 14b + 4c = 0 Solving 13a + 14b + 4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14b' to each side of the equation. 13a + 14b + -14b + 4c = 0 + -14b Combine like terms: 14b + -14b = 0 13a + 0 + 4c = 0 + -14b 13a + 4c = 0 + -14b Remove the zero: 13a + 4c = -14b Add '-4c' to each side of the equation. 13a + 4c + -4c = -14b + -4c Combine like terms: 4c + -4c = 0 13a + 0 = -14b + -4c 13a = -14b + -4c Divide each side by '13'. a = -1.076923077b + -0.3076923077c Simplifying a = -1.076923077b + -0.3076923077c
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