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Simplifying -7a + 4b + -5c + -2b + 3a = 0 Reorder the terms: -7a + 3a + 4b + -2b + -5c = 0 Combine like terms: -7a + 3a = -4a -4a + 4b + -2b + -5c = 0 Combine like terms: 4b + -2b = 2b -4a + 2b + -5c = 0 Solving -4a + 2b + -5c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. -4a + 2b + -2b + -5c = 0 + -2b Combine like terms: 2b + -2b = 0 -4a + 0 + -5c = 0 + -2b -4a + -5c = 0 + -2b Remove the zero: -4a + -5c = -2b Add '5c' to each side of the equation. -4a + -5c + 5c = -2b + 5c Combine like terms: -5c + 5c = 0 -4a + 0 = -2b + 5c -4a = -2b + 5c Divide each side by '-4'. a = 0.5b + -1.25c Simplifying a = 0.5b + -1.25c
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