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Simplifying 3a + 9 = -4a + 170 Reorder the terms: 9 + 3a = -4a + 170 Reorder the terms: 9 + 3a = 170 + -4a Solving 9 + 3a = 170 + -4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 9 + 3a + 4a = 170 + -4a + 4a Combine like terms: 3a + 4a = 7a 9 + 7a = 170 + -4a + 4a Combine like terms: -4a + 4a = 0 9 + 7a = 170 + 0 9 + 7a = 170 Add '-9' to each side of the equation. 9 + -9 + 7a = 170 + -9 Combine like terms: 9 + -9 = 0 0 + 7a = 170 + -9 7a = 170 + -9 Combine like terms: 170 + -9 = 161 7a = 161 Divide each side by '7'. a = 23 Simplifying a = 23
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