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Simplifying 3b + -3a + -5c + 4b = 0 Reorder the terms: -3a + 3b + 4b + -5c = 0 Combine like terms: 3b + 4b = 7b -3a + 7b + -5c = 0 Solving -3a + 7b + -5c = 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. -3a + 7b + -7b + -5c = 0 + -7b Combine like terms: 7b + -7b = 0 -3a + 0 + -5c = 0 + -7b -3a + -5c = 0 + -7b Remove the zero: -3a + -5c = -7b Add '5c' to each side of the equation. -3a + -5c + 5c = -7b + 5c Combine like terms: -5c + 5c = 0 -3a + 0 = -7b + 5c -3a = -7b + 5c Divide each side by '-3'. a = 2.333333333b + -1.666666667c Simplifying a = 2.333333333b + -1.666666667c
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