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Simplifying 5(a + 2) + -2(8 + -1a) = 43 Reorder the terms: 5(2 + a) + -2(8 + -1a) = 43 (2 * 5 + a * 5) + -2(8 + -1a) = 43 (10 + 5a) + -2(8 + -1a) = 43 10 + 5a + (8 * -2 + -1a * -2) = 43 10 + 5a + (-16 + 2a) = 43 Reorder the terms: 10 + -16 + 5a + 2a = 43 Combine like terms: 10 + -16 = -6 -6 + 5a + 2a = 43 Combine like terms: 5a + 2a = 7a -6 + 7a = 43 Solving -6 + 7a = 43 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 7a = 43 + 6 Combine like terms: -6 + 6 = 0 0 + 7a = 43 + 6 7a = 43 + 6 Combine like terms: 43 + 6 = 49 7a = 49 Divide each side by '7'. a = 7 Simplifying a = 7
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