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Simplifying 2(4a + -3) + -7(2a + -7) = 1 Reorder the terms: 2(-3 + 4a) + -7(2a + -7) = 1 (-3 * 2 + 4a * 2) + -7(2a + -7) = 1 (-6 + 8a) + -7(2a + -7) = 1 Reorder the terms: -6 + 8a + -7(-7 + 2a) = 1 -6 + 8a + (-7 * -7 + 2a * -7) = 1 -6 + 8a + (49 + -14a) = 1 Reorder the terms: -6 + 49 + 8a + -14a = 1 Combine like terms: -6 + 49 = 43 43 + 8a + -14a = 1 Combine like terms: 8a + -14a = -6a 43 + -6a = 1 Solving 43 + -6a = 1 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-43' to each side of the equation. 43 + -43 + -6a = 1 + -43 Combine like terms: 43 + -43 = 0 0 + -6a = 1 + -43 -6a = 1 + -43 Combine like terms: 1 + -43 = -42 -6a = -42 Divide each side by '-6'. a = 7 Simplifying a = 7
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