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Simplifying 3(-4b) + -2(a + -1b + -1c) = 0 Remove parenthesis around (-4b) 3 * -4b + -2(a + -1b + -1c) = 0 Multiply 3 * -4 -12b + -2(a + -1b + -1c) = 0 -12b + (a * -2 + -1b * -2 + -1c * -2) = 0 -12b + (-2a + 2b + 2c) = 0 Reorder the terms: -2a + -12b + 2b + 2c = 0 Combine like terms: -12b + 2b = -10b -2a + -10b + 2c = 0 Solving -2a + -10b + 2c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10b' to each side of the equation. -2a + -10b + 10b + 2c = 0 + 10b Combine like terms: -10b + 10b = 0 -2a + 0 + 2c = 0 + 10b -2a + 2c = 0 + 10b Remove the zero: -2a + 2c = 10b Add '-2c' to each side of the equation. -2a + 2c + -2c = 10b + -2c Combine like terms: 2c + -2c = 0 -2a + 0 = 10b + -2c -2a = 10b + -2c Divide each side by '-2'. a = -5b + c Simplifying a = -5b + c
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