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Simplifying -3b + 2(b + -6a) + -13a + 3c + 5c = 0 Reorder the terms: -3b + 2(-6a + b) + -13a + 3c + 5c = 0 -3b + (-6a * 2 + b * 2) + -13a + 3c + 5c = 0 -3b + (-12a + 2b) + -13a + 3c + 5c = 0 Reorder the terms: -12a + -13a + -3b + 2b + 3c + 5c = 0 Combine like terms: -12a + -13a = -25a -25a + -3b + 2b + 3c + 5c = 0 Combine like terms: -3b + 2b = -1b -25a + -1b + 3c + 5c = 0 Combine like terms: 3c + 5c = 8c -25a + -1b + 8c = 0 Solving -25a + -1b + 8c = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -25a + -1b + b + 8c = 0 + b Combine like terms: -1b + b = 0 -25a + 0 + 8c = 0 + b -25a + 8c = 0 + b Remove the zero: -25a + 8c = b Add '-8c' to each side of the equation. -25a + 8c + -8c = b + -8c Combine like terms: 8c + -8c = 0 -25a + 0 = b + -8c -25a = b + -8c Divide each side by '-25'. a = -0.04b + 0.32c Simplifying a = -0.04b + 0.32c
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