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Simplifying 18a + 6 + -30 = 6a + -7 Reorder the terms: 6 + -30 + 18a = 6a + -7 Combine like terms: 6 + -30 = -24 -24 + 18a = 6a + -7 Reorder the terms: -24 + 18a = -7 + 6a Solving -24 + 18a = -7 + 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. -24 + 18a + -6a = -7 + 6a + -6a Combine like terms: 18a + -6a = 12a -24 + 12a = -7 + 6a + -6a Combine like terms: 6a + -6a = 0 -24 + 12a = -7 + 0 -24 + 12a = -7 Add '24' to each side of the equation. -24 + 24 + 12a = -7 + 24 Combine like terms: -24 + 24 = 0 0 + 12a = -7 + 24 12a = -7 + 24 Combine like terms: -7 + 24 = 17 12a = 17 Divide each side by '12'. a = 1.416666667 Simplifying a = 1.416666667
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