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Simplifying 4a + 1 = 7a + -17 Reorder the terms: 1 + 4a = 7a + -17 Reorder the terms: 1 + 4a = -17 + 7a Solving 1 + 4a = -17 + 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. 1 + 4a + -7a = -17 + 7a + -7a Combine like terms: 4a + -7a = -3a 1 + -3a = -17 + 7a + -7a Combine like terms: 7a + -7a = 0 1 + -3a = -17 + 0 1 + -3a = -17 Add '-1' to each side of the equation. 1 + -1 + -3a = -17 + -1 Combine like terms: 1 + -1 = 0 0 + -3a = -17 + -1 -3a = -17 + -1 Combine like terms: -17 + -1 = -18 -3a = -18 Divide each side by '-3'. a = 6 Simplifying a = 6
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