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Simplifying -1a + b + 3(a + b) + -7(3a + 4b) + a = 0 -1a + b + (a * 3 + b * 3) + -7(3a + 4b) + a = 0 -1a + b + (3a + 3b) + -7(3a + 4b) + a = 0 -1a + b + 3a + 3b + (3a * -7 + 4b * -7) + a = 0 -1a + b + 3a + 3b + (-21a + -28b) + a = 0 Reorder the terms: -1a + 3a + -21a + a + b + 3b + -28b = 0 Combine like terms: -1a + 3a = 2a 2a + -21a + a + b + 3b + -28b = 0 Combine like terms: 2a + -21a = -19a -19a + a + b + 3b + -28b = 0 Combine like terms: -19a + a = -18a -18a + b + 3b + -28b = 0 Combine like terms: b + 3b = 4b -18a + 4b + -28b = 0 Combine like terms: 4b + -28b = -24b -18a + -24b = 0 Solving -18a + -24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24b' to each side of the equation. -18a + -24b + 24b = 0 + 24b Combine like terms: -24b + 24b = 0 -18a + 0 = 0 + 24b -18a = 0 + 24b Remove the zero: -18a = 24b Divide each side by '-18'. a = -1.333333333b Simplifying a = -1.333333333b
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