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Simplifying 5(a + 2) + -3(a + 4) = 6 Reorder the terms: 5(2 + a) + -3(a + 4) = 6 (2 * 5 + a * 5) + -3(a + 4) = 6 (10 + 5a) + -3(a + 4) = 6 Reorder the terms: 10 + 5a + -3(4 + a) = 6 10 + 5a + (4 * -3 + a * -3) = 6 10 + 5a + (-12 + -3a) = 6 Reorder the terms: 10 + -12 + 5a + -3a = 6 Combine like terms: 10 + -12 = -2 -2 + 5a + -3a = 6 Combine like terms: 5a + -3a = 2a -2 + 2a = 6 Solving -2 + 2a = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2a = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 6 + 2 2a = 6 + 2 Combine like terms: 6 + 2 = 8 2a = 8 Divide each side by '2'. a = 4 Simplifying a = 4
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