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Simplifying 6(-2 + a) + -1(-5 + a) + -3(9 + a) = 0 (-2 * 6 + a * 6) + -1(-5 + a) + -3(9 + a) = 0 (-12 + 6a) + -1(-5 + a) + -3(9 + a) = 0 -12 + 6a + (-5 * -1 + a * -1) + -3(9 + a) = 0 -12 + 6a + (5 + -1a) + -3(9 + a) = 0 -12 + 6a + 5 + -1a + (9 * -3 + a * -3) = 0 -12 + 6a + 5 + -1a + (-27 + -3a) = 0 Reorder the terms: -12 + 5 + -27 + 6a + -1a + -3a = 0 Combine like terms: -12 + 5 = -7 -7 + -27 + 6a + -1a + -3a = 0 Combine like terms: -7 + -27 = -34 -34 + 6a + -1a + -3a = 0 Combine like terms: 6a + -1a = 5a -34 + 5a + -3a = 0 Combine like terms: 5a + -3a = 2a -34 + 2a = 0 Solving -34 + 2a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 2a = 0 + 34 Combine like terms: -34 + 34 = 0 0 + 2a = 0 + 34 2a = 0 + 34 Combine like terms: 0 + 34 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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