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Simplifying 7a + 114 = 9a + 6 Reorder the terms: 114 + 7a = 9a + 6 Reorder the terms: 114 + 7a = 6 + 9a Solving 114 + 7a = 6 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 114 + 7a + -9a = 6 + 9a + -9a Combine like terms: 7a + -9a = -2a 114 + -2a = 6 + 9a + -9a Combine like terms: 9a + -9a = 0 114 + -2a = 6 + 0 114 + -2a = 6 Add '-114' to each side of the equation. 114 + -114 + -2a = 6 + -114 Combine like terms: 114 + -114 = 0 0 + -2a = 6 + -114 -2a = 6 + -114 Combine like terms: 6 + -114 = -108 -2a = -108 Divide each side by '-2'. a = 54 Simplifying a = 54
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