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Simplifying -1(b + -1a) + -4(2b + 3) + -1(6a + -3b) = 0 Reorder the terms: -1(-1a + b) + -4(2b + 3) + -1(6a + -3b) = 0 (-1a * -1 + b * -1) + -4(2b + 3) + -1(6a + -3b) = 0 (1a + -1b) + -4(2b + 3) + -1(6a + -3b) = 0 Reorder the terms: 1a + -1b + -4(3 + 2b) + -1(6a + -3b) = 0 1a + -1b + (3 * -4 + 2b * -4) + -1(6a + -3b) = 0 1a + -1b + (-12 + -8b) + -1(6a + -3b) = 0 1a + -1b + -12 + -8b + (6a * -1 + -3b * -1) = 0 1a + -1b + -12 + -8b + (-6a + 3b) = 0 Reorder the terms: -12 + 1a + -6a + -1b + -8b + 3b = 0 Combine like terms: 1a + -6a = -5a -12 + -5a + -1b + -8b + 3b = 0 Combine like terms: -1b + -8b = -9b -12 + -5a + -9b + 3b = 0 Combine like terms: -9b + 3b = -6b -12 + -5a + -6b = 0 Solving -12 + -5a + -6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -5a + 12 + -6b = 0 + 12 Reorder the terms: -12 + 12 + -5a + -6b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5a + -6b = 0 + 12 -5a + -6b = 0 + 12 Combine like terms: 0 + 12 = 12 -5a + -6b = 12 Add '6b' to each side of the equation. -5a + -6b + 6b = 12 + 6b Combine like terms: -6b + 6b = 0 -5a + 0 = 12 + 6b -5a = 12 + 6b Divide each side by '-5'. a = -2.4 + -1.2b Simplifying a = -2.4 + -1.2b
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