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Simplifying 7 + 9a = 3(a + -2) Reorder the terms: 7 + 9a = 3(-2 + a) 7 + 9a = (-2 * 3 + a * 3) 7 + 9a = (-6 + 3a) Solving 7 + 9a = -6 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 7 + 9a + -3a = -6 + 3a + -3a Combine like terms: 9a + -3a = 6a 7 + 6a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 7 + 6a = -6 + 0 7 + 6a = -6 Add '-7' to each side of the equation. 7 + -7 + 6a = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 6a = -6 + -7 6a = -6 + -7 Combine like terms: -6 + -7 = -13 6a = -13 Divide each side by '6'. a = -2.166666667 Simplifying a = -2.166666667
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