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Simplifying 9a + -6 = 3a + 4 + 18 Reorder the terms: -6 + 9a = 3a + 4 + 18 Reorder the terms: -6 + 9a = 4 + 18 + 3a Combine like terms: 4 + 18 = 22 -6 + 9a = 22 + 3a Solving -6 + 9a = 22 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -6 + 9a + -3a = 22 + 3a + -3a Combine like terms: 9a + -3a = 6a -6 + 6a = 22 + 3a + -3a Combine like terms: 3a + -3a = 0 -6 + 6a = 22 + 0 -6 + 6a = 22 Add '6' to each side of the equation. -6 + 6 + 6a = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 6a = 22 + 6 6a = 22 + 6 Combine like terms: 22 + 6 = 28 6a = 28 Divide each side by '6'. a = 4.666666667 Simplifying a = 4.666666667
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