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Simplifying 3(2a + 7) = 5(a + -1) + 29a Reorder the terms: 3(7 + 2a) = 5(a + -1) + 29a (7 * 3 + 2a * 3) = 5(a + -1) + 29a (21 + 6a) = 5(a + -1) + 29a Reorder the terms: 21 + 6a = 5(-1 + a) + 29a 21 + 6a = (-1 * 5 + a * 5) + 29a 21 + 6a = (-5 + 5a) + 29a Combine like terms: 5a + 29a = 34a 21 + 6a = -5 + 34a Solving 21 + 6a = -5 + 34a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-34a' to each side of the equation. 21 + 6a + -34a = -5 + 34a + -34a Combine like terms: 6a + -34a = -28a 21 + -28a = -5 + 34a + -34a Combine like terms: 34a + -34a = 0 21 + -28a = -5 + 0 21 + -28a = -5 Add '-21' to each side of the equation. 21 + -21 + -28a = -5 + -21 Combine like terms: 21 + -21 = 0 0 + -28a = -5 + -21 -28a = -5 + -21 Combine like terms: -5 + -21 = -26 -28a = -26 Divide each side by '-28'. a = 0.9285714286 Simplifying a = 0.9285714286
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