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Simplifying 6 + -4(3a + -2) = 2a + 10 Reorder the terms: 6 + -4(-2 + 3a) = 2a + 10 6 + (-2 * -4 + 3a * -4) = 2a + 10 6 + (8 + -12a) = 2a + 10 Combine like terms: 6 + 8 = 14 14 + -12a = 2a + 10 Reorder the terms: 14 + -12a = 10 + 2a Solving 14 + -12a = 10 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 14 + -12a + -2a = 10 + 2a + -2a Combine like terms: -12a + -2a = -14a 14 + -14a = 10 + 2a + -2a Combine like terms: 2a + -2a = 0 14 + -14a = 10 + 0 14 + -14a = 10 Add '-14' to each side of the equation. 14 + -14 + -14a = 10 + -14 Combine like terms: 14 + -14 = 0 0 + -14a = 10 + -14 -14a = 10 + -14 Combine like terms: 10 + -14 = -4 -14a = -4 Divide each side by '-14'. a = 0.2857142857 Simplifying a = 0.2857142857
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