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Simplifying 7(6 + -2a) = 5(-2 + 3a) (6 * 7 + -2a * 7) = 5(-2 + 3a) (42 + -14a) = 5(-2 + 3a) 42 + -14a = (-2 * 5 + 3a * 5) 42 + -14a = (-10 + 15a) Solving 42 + -14a = -10 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 42 + -14a + -15a = -10 + 15a + -15a Combine like terms: -14a + -15a = -29a 42 + -29a = -10 + 15a + -15a Combine like terms: 15a + -15a = 0 42 + -29a = -10 + 0 42 + -29a = -10 Add '-42' to each side of the equation. 42 + -42 + -29a = -10 + -42 Combine like terms: 42 + -42 = 0 0 + -29a = -10 + -42 -29a = -10 + -42 Combine like terms: -10 + -42 = -52 -29a = -52 Divide each side by '-29'. a = 1.793103448 Simplifying a = 1.793103448
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