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Simplifying (3a + 6b + -7) + -1(2a + -3b + 4) = 0 Reorder the terms: (-7 + 3a + 6b) + -1(2a + -3b + 4) = 0 Remove parenthesis around (-7 + 3a + 6b) -7 + 3a + 6b + -1(2a + -3b + 4) = 0 Reorder the terms: -7 + 3a + 6b + -1(4 + 2a + -3b) = 0 -7 + 3a + 6b + (4 * -1 + 2a * -1 + -3b * -1) = 0 -7 + 3a + 6b + (-4 + -2a + 3b) = 0 Reorder the terms: -7 + -4 + 3a + -2a + 6b + 3b = 0 Combine like terms: -7 + -4 = -11 -11 + 3a + -2a + 6b + 3b = 0 Combine like terms: 3a + -2a = 1a -11 + 1a + 6b + 3b = 0 Combine like terms: 6b + 3b = 9b -11 + 1a + 9b = 0 Solving -11 + 1a + 9b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 1a + 11 + 9b = 0 + 11 Reorder the terms: -11 + 11 + 1a + 9b = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 1a + 9b = 0 + 11 1a + 9b = 0 + 11 Combine like terms: 0 + 11 = 11 1a + 9b = 11 Add '-9b' to each side of the equation. 1a + 9b + -9b = 11 + -9b Combine like terms: 9b + -9b = 0 1a + 0 = 11 + -9b 1a = 11 + -9b Divide each side by '1'. a = 11 + -9b Simplifying a = 11 + -9b
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