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Simplifying 4(6a + -7) + -1(3a + -5) = 40 Reorder the terms: 4(-7 + 6a) + -1(3a + -5) = 40 (-7 * 4 + 6a * 4) + -1(3a + -5) = 40 (-28 + 24a) + -1(3a + -5) = 40 Reorder the terms: -28 + 24a + -1(-5 + 3a) = 40 -28 + 24a + (-5 * -1 + 3a * -1) = 40 -28 + 24a + (5 + -3a) = 40 Reorder the terms: -28 + 5 + 24a + -3a = 40 Combine like terms: -28 + 5 = -23 -23 + 24a + -3a = 40 Combine like terms: 24a + -3a = 21a -23 + 21a = 40 Solving -23 + 21a = 40 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '23' to each side of the equation. -23 + 23 + 21a = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 21a = 40 + 23 21a = 40 + 23 Combine like terms: 40 + 23 = 63 21a = 63 Divide each side by '21'. a = 3 Simplifying a = 3
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