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Simplifying 2(6 + -2a) = -15a + 34 (6 * 2 + -2a * 2) = -15a + 34 (12 + -4a) = -15a + 34 Reorder the terms: 12 + -4a = 34 + -15a Solving 12 + -4a = 34 + -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. 12 + -4a + 15a = 34 + -15a + 15a Combine like terms: -4a + 15a = 11a 12 + 11a = 34 + -15a + 15a Combine like terms: -15a + 15a = 0 12 + 11a = 34 + 0 12 + 11a = 34 Add '-12' to each side of the equation. 12 + -12 + 11a = 34 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 34 + -12 11a = 34 + -12 Combine like terms: 34 + -12 = 22 11a = 22 Divide each side by '11'. a = 2 Simplifying a = 2
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