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Simplifying 7 + -9a = 5 + 6(4 + -3a) 7 + -9a = 5 + (4 * 6 + -3a * 6) 7 + -9a = 5 + (24 + -18a) Combine like terms: 5 + 24 = 29 7 + -9a = 29 + -18a Solving 7 + -9a = 29 + -18a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18a' to each side of the equation. 7 + -9a + 18a = 29 + -18a + 18a Combine like terms: -9a + 18a = 9a 7 + 9a = 29 + -18a + 18a Combine like terms: -18a + 18a = 0 7 + 9a = 29 + 0 7 + 9a = 29 Add '-7' to each side of the equation. 7 + -7 + 9a = 29 + -7 Combine like terms: 7 + -7 = 0 0 + 9a = 29 + -7 9a = 29 + -7 Combine like terms: 29 + -7 = 22 9a = 22 Divide each side by '9'. a = 2.444444444 Simplifying a = 2.444444444
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