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Simplifying 7a + -1c + 5b + -2c + -10a = 0 Reorder the terms: 7a + -10a + 5b + -1c + -2c = 0 Combine like terms: 7a + -10a = -3a -3a + 5b + -1c + -2c = 0 Combine like terms: -1c + -2c = -3c -3a + 5b + -3c = 0 Solving -3a + 5b + -3c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5b' to each side of the equation. -3a + 5b + -5b + -3c = 0 + -5b Combine like terms: 5b + -5b = 0 -3a + 0 + -3c = 0 + -5b -3a + -3c = 0 + -5b Remove the zero: -3a + -3c = -5b Add '3c' to each side of the equation. -3a + -3c + 3c = -5b + 3c Combine like terms: -3c + 3c = 0 -3a + 0 = -5b + 3c -3a = -5b + 3c Divide each side by '-3'. a = 1.666666667b + -1c Simplifying a = 1.666666667b + -1c
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