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Simplifying -5(1 + 6a) + 2(2a + -6) = -43 (1 * -5 + 6a * -5) + 2(2a + -6) = -43 (-5 + -30a) + 2(2a + -6) = -43 Reorder the terms: -5 + -30a + 2(-6 + 2a) = -43 -5 + -30a + (-6 * 2 + 2a * 2) = -43 -5 + -30a + (-12 + 4a) = -43 Reorder the terms: -5 + -12 + -30a + 4a = -43 Combine like terms: -5 + -12 = -17 -17 + -30a + 4a = -43 Combine like terms: -30a + 4a = -26a -17 + -26a = -43 Solving -17 + -26a = -43 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -26a = -43 + 17 Combine like terms: -17 + 17 = 0 0 + -26a = -43 + 17 -26a = -43 + 17 Combine like terms: -43 + 17 = -26 -26a = -26 Divide each side by '-26'. a = 1 Simplifying a = 1
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