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Simplifying 9a + 5 = 7a + 3a + -2 Reorder the terms: 5 + 9a = 7a + 3a + -2 Reorder the terms: 5 + 9a = -2 + 7a + 3a Combine like terms: 7a + 3a = 10a 5 + 9a = -2 + 10a Solving 5 + 9a = -2 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 5 + 9a + -10a = -2 + 10a + -10a Combine like terms: 9a + -10a = -1a 5 + -1a = -2 + 10a + -10a Combine like terms: 10a + -10a = 0 5 + -1a = -2 + 0 5 + -1a = -2 Add '-5' to each side of the equation. 5 + -5 + -1a = -2 + -5 Combine like terms: 5 + -5 = 0 0 + -1a = -2 + -5 -1a = -2 + -5 Combine like terms: -2 + -5 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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