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Simplifying -15a + 20b + 5c + -7a + -19b + 10c = 0 Reorder the terms: -15a + -7a + 20b + -19b + 5c + 10c = 0 Combine like terms: -15a + -7a = -22a -22a + 20b + -19b + 5c + 10c = 0 Combine like terms: 20b + -19b = 1b -22a + 1b + 5c + 10c = 0 Combine like terms: 5c + 10c = 15c -22a + 1b + 15c = 0 Solving -22a + 1b + 15c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1b' to each side of the equation. -22a + 1b + -1b + 15c = 0 + -1b Combine like terms: 1b + -1b = 0 -22a + 0 + 15c = 0 + -1b -22a + 15c = 0 + -1b Remove the zero: -22a + 15c = -1b Add '-15c' to each side of the equation. -22a + 15c + -15c = -1b + -15c Combine like terms: 15c + -15c = 0 -22a + 0 = -1b + -15c -22a = -1b + -15c Divide each side by '-22'. a = 0.04545454545b + 0.6818181818c Simplifying a = 0.04545454545b + 0.6818181818c
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