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Simplifying 3a + 13 = 9a + -18 Reorder the terms: 13 + 3a = 9a + -18 Reorder the terms: 13 + 3a = -18 + 9a Solving 13 + 3a = -18 + 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. 13 + 3a + -9a = -18 + 9a + -9a Combine like terms: 3a + -9a = -6a 13 + -6a = -18 + 9a + -9a Combine like terms: 9a + -9a = 0 13 + -6a = -18 + 0 13 + -6a = -18 Add '-13' to each side of the equation. 13 + -13 + -6a = -18 + -13 Combine like terms: 13 + -13 = 0 0 + -6a = -18 + -13 -6a = -18 + -13 Combine like terms: -18 + -13 = -31 -6a = -31 Divide each side by '-6'. a = 5.166666667 Simplifying a = 5.166666667
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