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Simplifying 2 + -3a + 7 = 8a + 3 + -1a Reorder the terms: 2 + 7 + -3a = 8a + 3 + -1a Combine like terms: 2 + 7 = 9 9 + -3a = 8a + 3 + -1a Reorder the terms: 9 + -3a = 3 + 8a + -1a Combine like terms: 8a + -1a = 7a 9 + -3a = 3 + 7a Solving 9 + -3a = 3 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 9 + -3a + -7a = 3 + 7a + -7a Combine like terms: -3a + -7a = -10a 9 + -10a = 3 + 7a + -7a Combine like terms: 7a + -7a = 0 9 + -10a = 3 + 0 9 + -10a = 3 Add '-9' to each side of the equation. 9 + -9 + -10a = 3 + -9 Combine like terms: 9 + -9 = 0 0 + -10a = 3 + -9 -10a = 3 + -9 Combine like terms: 3 + -9 = -6 -10a = -6 Divide each side by '-10'. a = 0.6 Simplifying a = 0.6
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