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Simplifying 2a + -3(a + 7) + -4(-1a + b) = 0 Reorder the terms: 2a + -3(7 + a) + -4(-1a + b) = 0 2a + (7 * -3 + a * -3) + -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 = 3a -21 + 3a + -4b = 0 Solving -21 + 3a + -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 + 3a + 21 + -4b = 0 + 21 Reorder the terms: -21 + 21 + 3a + -4b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 3a + -4b = 0 + 21 3a + -4b = 0 + 21 Combine like terms: 0 + 21 = 21 3a + -4b = 21 Add '4b' to each side of the equation. 3a + -4b + 4b = 21 + 4b Combine like terms: -4b + 4b = 0 3a + 0 = 21 + 4b 3a = 21 + 4b Divide each side by '3'. a = 7 + 1.333333333b Simplifying a = 7 + 1.333333333b
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