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Simplifying 5a + 7 + -3a = 6a + -17 Reorder the terms: 7 + 5a + -3a = 6a + -17 Combine like terms: 5a + -3a = 2a 7 + 2a = 6a + -17 Reorder the terms: 7 + 2a = -17 + 6a Solving 7 + 2a = -17 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 7 + 2a + -6a = -17 + 6a + -6a Combine like terms: 2a + -6a = -4a 7 + -4a = -17 + 6a + -6a Combine like terms: 6a + -6a = 0 7 + -4a = -17 + 0 7 + -4a = -17 Add '-7' to each side of the equation. 7 + -7 + -4a = -17 + -7 Combine like terms: 7 + -7 = 0 0 + -4a = -17 + -7 -4a = -17 + -7 Combine like terms: -17 + -7 = -24 -4a = -24 Divide each side by '-4'. a = 6 Simplifying a = 6
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