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Simplifying 5b + -4c + 2a + -6a + 4b + -10 = 0 Reorder the terms: -10 + 2a + -6a + 5b + 4b + -4c = 0 Combine like terms: 2a + -6a = -4a -10 + -4a + 5b + 4b + -4c = 0 Combine like terms: 5b + 4b = 9b -10 + -4a + 9b + -4c = 0 Solving -10 + -4a + 9b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + -4a + 9b + 10 + -4c = 0 + 10 Reorder the terms: -10 + 10 + -4a + 9b + -4c = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -4a + 9b + -4c = 0 + 10 -4a + 9b + -4c = 0 + 10 Combine like terms: 0 + 10 = 10 -4a + 9b + -4c = 10 Add '-9b' to each side of the equation. -4a + 9b + -9b + -4c = 10 + -9b Combine like terms: 9b + -9b = 0 -4a + 0 + -4c = 10 + -9b -4a + -4c = 10 + -9b Add '4c' to each side of the equation. -4a + -4c + 4c = 10 + -9b + 4c Combine like terms: -4c + 4c = 0 -4a + 0 = 10 + -9b + 4c -4a = 10 + -9b + 4c Divide each side by '-4'. a = -2.5 + 2.25b + -1c Simplifying a = -2.5 + 2.25b + -1c
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