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Simplifying 2 + -2(1 + 2a) = -5(2a + -6) 2 + (1 * -2 + 2a * -2) = -5(2a + -6) 2 + (-2 + -4a) = -5(2a + -6) Combine like terms: 2 + -2 = 0 0 + -4a = -5(2a + -6) -4a = -5(2a + -6) Reorder the terms: -4a = -5(-6 + 2a) -4a = (-6 * -5 + 2a * -5) -4a = (30 + -10a) Solving -4a = 30 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. -4a + 10a = 30 + -10a + 10a Combine like terms: -4a + 10a = 6a 6a = 30 + -10a + 10a Combine like terms: -10a + 10a = 0 6a = 30 + 0 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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