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Simplifying 17 = 8a + -7 + 4a Reorder the terms: 17 = -7 + 8a + 4a Combine like terms: 8a + 4a = 12a 17 = -7 + 12a Solving 17 = -7 + 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. 17 + -12a = -7 + 12a + -12a Combine like terms: 12a + -12a = 0 17 + -12a = -7 + 0 17 + -12a = -7 Add '-17' to each side of the equation. 17 + -17 + -12a = -7 + -17 Combine like terms: 17 + -17 = 0 0 + -12a = -7 + -17 -12a = -7 + -17 Combine like terms: -7 + -17 = -24 -12a = -24 Divide each side by '-12'. a = 2 Simplifying a = 2
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