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Simplifying 5(a + 3) + -2(a + 3) = 7 Reorder the terms: 5(3 + a) + -2(a + 3) = 7 (3 * 5 + a * 5) + -2(a + 3) = 7 (15 + 5a) + -2(a + 3) = 7 Reorder the terms: 15 + 5a + -2(3 + a) = 7 15 + 5a + (3 * -2 + a * -2) = 7 15 + 5a + (-6 + -2a) = 7 Reorder the terms: 15 + -6 + 5a + -2a = 7 Combine like terms: 15 + -6 = 9 9 + 5a + -2a = 7 Combine like terms: 5a + -2a = 3a 9 + 3a = 7 Solving 9 + 3a = 7 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 3a = 7 + -9 Combine like terms: 9 + -9 = 0 0 + 3a = 7 + -9 3a = 7 + -9 Combine like terms: 7 + -9 = -2 3a = -2 Divide each side by '3'. a = -0.6666666667 Simplifying a = -0.6666666667
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