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Simplifying 7(6 + -2a) = 5(-3 + a) (6 * 7 + -2a * 7) = 5(-3 + a) (42 + -14a) = 5(-3 + a) 42 + -14a = (-3 * 5 + a * 5) 42 + -14a = (-15 + 5a) Solving 42 + -14a = -15 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 42 + -14a + -5a = -15 + 5a + -5a Combine like terms: -14a + -5a = -19a 42 + -19a = -15 + 5a + -5a Combine like terms: 5a + -5a = 0 42 + -19a = -15 + 0 42 + -19a = -15 Add '-42' to each side of the equation. 42 + -42 + -19a = -15 + -42 Combine like terms: 42 + -42 = 0 0 + -19a = -15 + -42 -19a = -15 + -42 Combine like terms: -15 + -42 = -57 -19a = -57 Divide each side by '-19'. a = 3 Simplifying a = 3
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