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Simplifying 7c + 4b + -3b + a + 10c + -5a = 0 Reorder the terms: a + -5a + 4b + -3b + 7c + 10c = 0 Combine like terms: a + -5a = -4a -4a + 4b + -3b + 7c + 10c = 0 Combine like terms: 4b + -3b = 1b -4a + 1b + 7c + 10c = 0 Combine like terms: 7c + 10c = 17c -4a + 1b + 17c = 0 Solving -4a + 1b + 17c = 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. -4a + 1b + -1b + 17c = 0 + -1b Combine like terms: 1b + -1b = 0 -4a + 0 + 17c = 0 + -1b -4a + 17c = 0 + -1b Remove the zero: -4a + 17c = -1b Add '-17c' to each side of the equation. -4a + 17c + -17c = -1b + -17c Combine like terms: 17c + -17c = 0 -4a + 0 = -1b + -17c -4a = -1b + -17c Divide each side by '-4'. a = 0.25b + 4.25c Simplifying a = 0.25b + 4.25c
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