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Simplifying 5(3a + 1) + -3(a + -7) = 16 + 7a Reorder the terms: 5(1 + 3a) + -3(a + -7) = 16 + 7a (1 * 5 + 3a * 5) + -3(a + -7) = 16 + 7a (5 + 15a) + -3(a + -7) = 16 + 7a Reorder the terms: 5 + 15a + -3(-7 + a) = 16 + 7a 5 + 15a + (-7 * -3 + a * -3) = 16 + 7a 5 + 15a + (21 + -3a) = 16 + 7a Reorder the terms: 5 + 21 + 15a + -3a = 16 + 7a Combine like terms: 5 + 21 = 26 26 + 15a + -3a = 16 + 7a Combine like terms: 15a + -3a = 12a 26 + 12a = 16 + 7a Solving 26 + 12a = 16 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 26 + 12a + -7a = 16 + 7a + -7a Combine like terms: 12a + -7a = 5a 26 + 5a = 16 + 7a + -7a Combine like terms: 7a + -7a = 0 26 + 5a = 16 + 0 26 + 5a = 16 Add '-26' to each side of the equation. 26 + -26 + 5a = 16 + -26 Combine like terms: 26 + -26 = 0 0 + 5a = 16 + -26 5a = 16 + -26 Combine like terms: 16 + -26 = -10 5a = -10 Divide each side by '5'. a = -2 Simplifying a = -2
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