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Simplifying 6a + 71 = a + -114 Reorder the terms: 71 + 6a = a + -114 Reorder the terms: 71 + 6a = -114 + a Solving 71 + 6a = -114 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 71 + 6a + -1a = -114 + a + -1a Combine like terms: 6a + -1a = 5a 71 + 5a = -114 + a + -1a Combine like terms: a + -1a = 0 71 + 5a = -114 + 0 71 + 5a = -114 Add '-71' to each side of the equation. 71 + -71 + 5a = -114 + -71 Combine like terms: 71 + -71 = 0 0 + 5a = -114 + -71 5a = -114 + -71 Combine like terms: -114 + -71 = -185 5a = -185 Divide each side by '5'. a = -37 Simplifying a = -37
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