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Simplifying 7(6 + -2a) = 13 + 2a (6 * 7 + -2a * 7) = 13 + 2a (42 + -14a) = 13 + 2a Solving 42 + -14a = 13 + 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. 42 + -14a + -2a = 13 + 2a + -2a Combine like terms: -14a + -2a = -16a 42 + -16a = 13 + 2a + -2a Combine like terms: 2a + -2a = 0 42 + -16a = 13 + 0 42 + -16a = 13 Add '-42' to each side of the equation. 42 + -42 + -16a = 13 + -42 Combine like terms: 42 + -42 = 0 0 + -16a = 13 + -42 -16a = 13 + -42 Combine like terms: 13 + -42 = -29 -16a = -29 Divide each side by '-16'. a = 1.8125 Simplifying a = 1.8125
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