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Simplifying 2a + -3(11b + -4a + -17c) = 0 Reorder the terms: 2a + -3(-4a + 11b + -17c) = 0 2a + (-4a * -3 + 11b * -3 + -17c * -3) = 0 2a + (12a + -33b + 51c) = 0 Combine like terms: 2a + 12a = 14a 14a + -33b + 51c = 0 Solving 14a + -33b + 51c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '33b' to each side of the equation. 14a + -33b + 33b + 51c = 0 + 33b Combine like terms: -33b + 33b = 0 14a + 0 + 51c = 0 + 33b 14a + 51c = 0 + 33b Remove the zero: 14a + 51c = 33b Add '-51c' to each side of the equation. 14a + 51c + -51c = 33b + -51c Combine like terms: 51c + -51c = 0 14a + 0 = 33b + -51c 14a = 33b + -51c Divide each side by '14'. a = 2.357142857b + -3.642857143c Simplifying a = 2.357142857b + -3.642857143c
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