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Simplifying 7a + 13 + 3a = 27 + -20a + 6 Reorder the terms: 13 + 7a + 3a = 27 + -20a + 6 Combine like terms: 7a + 3a = 10a 13 + 10a = 27 + -20a + 6 Reorder the terms: 13 + 10a = 27 + 6 + -20a Combine like terms: 27 + 6 = 33 13 + 10a = 33 + -20a Solving 13 + 10a = 33 + -20a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '20a' to each side of the equation. 13 + 10a + 20a = 33 + -20a + 20a Combine like terms: 10a + 20a = 30a 13 + 30a = 33 + -20a + 20a Combine like terms: -20a + 20a = 0 13 + 30a = 33 + 0 13 + 30a = 33 Add '-13' to each side of the equation. 13 + -13 + 30a = 33 + -13 Combine like terms: 13 + -13 = 0 0 + 30a = 33 + -13 30a = 33 + -13 Combine like terms: 33 + -13 = 20 30a = 20 Divide each side by '30'. a = 0.6666666667 Simplifying a = 0.6666666667
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