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Simplifying 10(2 + -1a) = 6(3a + 7) (2 * 10 + -1a * 10) = 6(3a + 7) (20 + -10a) = 6(3a + 7) Reorder the terms: 20 + -10a = 6(7 + 3a) 20 + -10a = (7 * 6 + 3a * 6) 20 + -10a = (42 + 18a) Solving 20 + -10a = 42 + 18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18a' to each side of the equation. 20 + -10a + -18a = 42 + 18a + -18a Combine like terms: -10a + -18a = -28a 20 + -28a = 42 + 18a + -18a Combine like terms: 18a + -18a = 0 20 + -28a = 42 + 0 20 + -28a = 42 Add '-20' to each side of the equation. 20 + -20 + -28a = 42 + -20 Combine like terms: 20 + -20 = 0 0 + -28a = 42 + -20 -28a = 42 + -20 Combine like terms: 42 + -20 = 22 -28a = 22 Divide each side by '-28'. a = -0.7857142857 Simplifying a = -0.7857142857
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