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Simplifying 3(a + -5) + 4(a + 5) = 21 Reorder the terms: 3(-5 + a) + 4(a + 5) = 21 (-5 * 3 + a * 3) + 4(a + 5) = 21 (-15 + 3a) + 4(a + 5) = 21 Reorder the terms: -15 + 3a + 4(5 + a) = 21 -15 + 3a + (5 * 4 + a * 4) = 21 -15 + 3a + (20 + 4a) = 21 Reorder the terms: -15 + 20 + 3a + 4a = 21 Combine like terms: -15 + 20 = 5 5 + 3a + 4a = 21 Combine like terms: 3a + 4a = 7a 5 + 7a = 21 Solving 5 + 7a = 21 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 7a = 21 + -5 Combine like terms: 5 + -5 = 0 0 + 7a = 21 + -5 7a = 21 + -5 Combine like terms: 21 + -5 = 16 7a = 16 Divide each side by '7'. a = 2.285714286 Simplifying a = 2.285714286
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