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Simplifying -2a + -1[-3(a + 7)] + -4(-1a + b) = 0 Reorder the terms: -2a + -1[-3(7 + a)] + -4(-1a + b) = 0 -2a + -1[(7 * -3 + a * -3)] + -4(-1a + b) = 0 -2a + -1[(-21 + -3a)] + -4(-1a + b) = 0 -2a + [-21 * -1 + -3a * -1] + -4(-1a + b) = 0 -2a + [21 + 3a] + -4(-1a + b) = 0 -2a + 21 + 3a + (-1a * -4 + b * -4) = 0 -2a + 21 + 3a + (4a + -4b) = 0 Reorder the terms: 21 + -2a + 3a + 4a + -4b = 0 Combine like terms: -2a + 3a = 1a 21 + 1a + 4a + -4b = 0 Combine like terms: 1a + 4a = 5a 21 + 5a + -4b = 0 Solving 21 + 5a + -4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + 5a + -21 + -4b = 0 + -21 Reorder the terms: 21 + -21 + 5a + -4b = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 5a + -4b = 0 + -21 5a + -4b = 0 + -21 Combine like terms: 0 + -21 = -21 5a + -4b = -21 Add '4b' to each side of the equation. 5a + -4b + 4b = -21 + 4b Combine like terms: -4b + 4b = 0 5a + 0 = -21 + 4b 5a = -21 + 4b Divide each side by '5'. a = -4.2 + 0.8b Simplifying a = -4.2 + 0.8b
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