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Simplifying 7(3a + -2) + -2(a + -3) = 0 Reorder the terms: 7(-2 + 3a) + -2(a + -3) = 0 (-2 * 7 + 3a * 7) + -2(a + -3) = 0 (-14 + 21a) + -2(a + -3) = 0 Reorder the terms: -14 + 21a + -2(-3 + a) = 0 -14 + 21a + (-3 * -2 + a * -2) = 0 -14 + 21a + (6 + -2a) = 0 Reorder the terms: -14 + 6 + 21a + -2a = 0 Combine like terms: -14 + 6 = -8 -8 + 21a + -2a = 0 Combine like terms: 21a + -2a = 19a -8 + 19a = 0 Solving -8 + 19a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 19a = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 19a = 0 + 8 19a = 0 + 8 Combine like terms: 0 + 8 = 8 19a = 8 Divide each side by '19'. a = 0.4210526316 Simplifying a = 0.4210526316
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