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Simplifying -8a + -1b + -1(-6c) + -2a + -1b + -5c = 0 Remove parenthesis around (-6c) -8a + -1b + -1 * -6c + -2a + -1b + -5c = 0 Multiply -1 * -6 -8a + -1b + 6c + -2a + -1b + -5c = 0 Reorder the terms: -8a + -2a + -1b + -1b + 6c + -5c = 0 Combine like terms: -8a + -2a = -10a -10a + -1b + -1b + 6c + -5c = 0 Combine like terms: -1b + -1b = -2b -10a + -2b + 6c + -5c = 0 Combine like terms: 6c + -5c = 1c -10a + -2b + 1c = 0 Solving -10a + -2b + 1c = 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. -10a + -2b + 2b + 1c = 0 + 2b Combine like terms: -2b + 2b = 0 -10a + 0 + 1c = 0 + 2b -10a + 1c = 0 + 2b Remove the zero: -10a + 1c = 2b Add '-1c' to each side of the equation. -10a + 1c + -1c = 2b + -1c Combine like terms: 1c + -1c = 0 -10a + 0 = 2b + -1c -10a = 2b + -1c Divide each side by '-10'. a = -0.2b + 0.1c Simplifying a = -0.2b + 0.1c
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