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Simplifying 5(6a + 8) = 29 + 7a Reorder the terms: 5(8 + 6a) = 29 + 7a (8 * 5 + 6a * 5) = 29 + 7a (40 + 30a) = 29 + 7a Solving 40 + 30a = 29 + 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. 40 + 30a + -7a = 29 + 7a + -7a Combine like terms: 30a + -7a = 23a 40 + 23a = 29 + 7a + -7a Combine like terms: 7a + -7a = 0 40 + 23a = 29 + 0 40 + 23a = 29 Add '-40' to each side of the equation. 40 + -40 + 23a = 29 + -40 Combine like terms: 40 + -40 = 0 0 + 23a = 29 + -40 23a = 29 + -40 Combine like terms: 29 + -40 = -11 23a = -11 Divide each side by '23'. a = -0.4782608696 Simplifying a = -0.4782608696
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