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Simplifying 7a + -3a + 7 = -3a + 119 + -9a Reorder the terms: 7 + 7a + -3a = -3a + 119 + -9a Combine like terms: 7a + -3a = 4a 7 + 4a = -3a + 119 + -9a Reorder the terms: 7 + 4a = 119 + -3a + -9a Combine like terms: -3a + -9a = -12a 7 + 4a = 119 + -12a Solving 7 + 4a = 119 + -12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12a' to each side of the equation. 7 + 4a + 12a = 119 + -12a + 12a Combine like terms: 4a + 12a = 16a 7 + 16a = 119 + -12a + 12a Combine like terms: -12a + 12a = 0 7 + 16a = 119 + 0 7 + 16a = 119 Add '-7' to each side of the equation. 7 + -7 + 16a = 119 + -7 Combine like terms: 7 + -7 = 0 0 + 16a = 119 + -7 16a = 119 + -7 Combine like terms: 119 + -7 = 112 16a = 112 Divide each side by '16'. a = 7 Simplifying a = 7
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