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Simplifying 7a + -1c + 6b + -3c + -10a = 0 Reorder the terms: 7a + -10a + 6b + -1c + -3c = 0 Combine like terms: 7a + -10a = -3a -3a + 6b + -1c + -3c = 0 Combine like terms: -1c + -3c = -4c -3a + 6b + -4c = 0 Solving -3a + 6b + -4c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6b' to each side of the equation. -3a + 6b + -6b + -4c = 0 + -6b Combine like terms: 6b + -6b = 0 -3a + 0 + -4c = 0 + -6b -3a + -4c = 0 + -6b Remove the zero: -3a + -4c = -6b Add '4c' to each side of the equation. -3a + -4c + 4c = -6b + 4c Combine like terms: -4c + 4c = 0 -3a + 0 = -6b + 4c -3a = -6b + 4c Divide each side by '-3'. a = 2b + -1.333333333c Simplifying a = 2b + -1.333333333c
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