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Simplifying 1 + -1(3a + -6) + -3(b + 2a) = 0 Reorder the terms: 1 + -1(-6 + 3a) + -3(b + 2a) = 0 1 + (-6 * -1 + 3a * -1) + -3(b + 2a) = 0 1 + (6 + -3a) + -3(b + 2a) = 0 Reorder the terms: 1 + 6 + -3a + -3(2a + b) = 0 1 + 6 + -3a + (2a * -3 + b * -3) = 0 1 + 6 + -3a + (-6a + -3b) = 0 Combine like terms: 1 + 6 = 7 7 + -3a + -6a + -3b = 0 Combine like terms: -3a + -6a = -9a 7 + -9a + -3b = 0 Solving 7 + -9a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -9a + -7 + -3b = 0 + -7 Reorder the terms: 7 + -7 + -9a + -3b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9a + -3b = 0 + -7 -9a + -3b = 0 + -7 Combine like terms: 0 + -7 = -7 -9a + -3b = -7 Add '3b' to each side of the equation. -9a + -3b + 3b = -7 + 3b Combine like terms: -3b + 3b = 0 -9a + 0 = -7 + 3b -9a = -7 + 3b Divide each side by '-9'. a = 0.7777777778 + -0.3333333333b Simplifying a = 0.7777777778 + -0.3333333333b
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