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Simplifying 2(1 + -7a) = 38 + -2a (1 * 2 + -7a * 2) = 38 + -2a (2 + -14a) = 38 + -2a Solving 2 + -14a = 38 + -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. 2 + -14a + 2a = 38 + -2a + 2a Combine like terms: -14a + 2a = -12a 2 + -12a = 38 + -2a + 2a Combine like terms: -2a + 2a = 0 2 + -12a = 38 + 0 2 + -12a = 38 Add '-2' to each side of the equation. 2 + -2 + -12a = 38 + -2 Combine like terms: 2 + -2 = 0 0 + -12a = 38 + -2 -12a = 38 + -2 Combine like terms: 38 + -2 = 36 -12a = 36 Divide each side by '-12'. a = -3 Simplifying a = -3
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