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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 = 7b -4a + 7b + 7c + 10c = 0 Combine like terms: 7c + 10c = 17c -4a + 7b + 17c = 0 Solving -4a + 7b + 17c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7b' to each side of the equation. -4a + 7b + -7b + 17c = 0 + -7b Combine like terms: 7b + -7b = 0 -4a + 0 + 17c = 0 + -7b -4a + 17c = 0 + -7b Remove the zero: -4a + 17c = -7b Add '-17c' to each side of the equation. -4a + 17c + -17c = -7b + -17c Combine like terms: 17c + -17c = 0 -4a + 0 = -7b + -17c -4a = -7b + -17c Divide each side by '-4'. a = 1.75b + 4.25c Simplifying a = 1.75b + 4.25c
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