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Simplifying (a + -15b + 11c) + (-8a + 17b + -11c) = 0 Remove parenthesis around (a + -15b + 11c) a + -15b + 11c + (-8a + 17b + -11c) = 0 Remove parenthesis around (-8a + 17b + -11c) a + -15b + 11c + -8a + 17b + -11c = 0 Reorder the terms: a + -8a + -15b + 17b + 11c + -11c = 0 Combine like terms: a + -8a = -7a -7a + -15b + 17b + 11c + -11c = 0 Combine like terms: -15b + 17b = 2b -7a + 2b + 11c + -11c = 0 Combine like terms: 11c + -11c = 0 -7a + 2b + 0 = 0 -7a + 2b = 0 Solving -7a + 2b = 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. -7a + 2b + -2b = 0 + -2b Combine like terms: 2b + -2b = 0 -7a + 0 = 0 + -2b -7a = 0 + -2b Remove the zero: -7a = -2b Divide each side by '-7'. a = 0.2857142857b Simplifying a = 0.2857142857b
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