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Simplifying 2(6 + -2a) = 5(-3a + 1) (6 * 2 + -2a * 2) = 5(-3a + 1) (12 + -4a) = 5(-3a + 1) Reorder the terms: 12 + -4a = 5(1 + -3a) 12 + -4a = (1 * 5 + -3a * 5) 12 + -4a = (5 + -15a) Solving 12 + -4a = 5 + -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 = 5 + -15a + 15a Combine like terms: -4a + 15a = 11a 12 + 11a = 5 + -15a + 15a Combine like terms: -15a + 15a = 0 12 + 11a = 5 + 0 12 + 11a = 5 Add '-12' to each side of the equation. 12 + -12 + 11a = 5 + -12 Combine like terms: 12 + -12 = 0 0 + 11a = 5 + -12 11a = 5 + -12 Combine like terms: 5 + -12 = -7 11a = -7 Divide each side by '11'. a = -0.6363636364 Simplifying a = -0.6363636364
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