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Simplifying 5a + -11 + -8a + 12 = 17a + 6 + -15a Reorder the terms: -11 + 12 + 5a + -8a = 17a + 6 + -15a Combine like terms: -11 + 12 = 1 1 + 5a + -8a = 17a + 6 + -15a Combine like terms: 5a + -8a = -3a 1 + -3a = 17a + 6 + -15a Reorder the terms: 1 + -3a = 6 + 17a + -15a Combine like terms: 17a + -15a = 2a 1 + -3a = 6 + 2a Solving 1 + -3a = 6 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 1 + -3a + -2a = 6 + 2a + -2a Combine like terms: -3a + -2a = -5a 1 + -5a = 6 + 2a + -2a Combine like terms: 2a + -2a = 0 1 + -5a = 6 + 0 1 + -5a = 6 Add '-1' to each side of the equation. 1 + -1 + -5a = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -5a = 6 + -1 -5a = 6 + -1 Combine like terms: 6 + -1 = 5 -5a = 5 Divide each side by '-5'. a = -1 Simplifying a = -1
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