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Simplifying 4(3a + -1) + 2(a + 3) = 20 Reorder the terms: 4(-1 + 3a) + 2(a + 3) = 20 (-1 * 4 + 3a * 4) + 2(a + 3) = 20 (-4 + 12a) + 2(a + 3) = 20 Reorder the terms: -4 + 12a + 2(3 + a) = 20 -4 + 12a + (3 * 2 + a * 2) = 20 -4 + 12a + (6 + 2a) = 20 Reorder the terms: -4 + 6 + 12a + 2a = 20 Combine like terms: -4 + 6 = 2 2 + 12a + 2a = 20 Combine like terms: 12a + 2a = 14a 2 + 14a = 20 Solving 2 + 14a = 20 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 14a = 20 + -2 Combine like terms: 2 + -2 = 0 0 + 14a = 20 + -2 14a = 20 + -2 Combine like terms: 20 + -2 = 18 14a = 18 Divide each side by '14'. a = 1.285714286 Simplifying a = 1.285714286
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