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Simplifying 9 + 7a + -15 + -6a + -20 = 30a + 10 + -18 + -7a + 126 Reorder the terms: 9 + -15 + -20 + 7a + -6a = 30a + 10 + -18 + -7a + 126 Combine like terms: 9 + -15 = -6 -6 + -20 + 7a + -6a = 30a + 10 + -18 + -7a + 126 Combine like terms: -6 + -20 = -26 -26 + 7a + -6a = 30a + 10 + -18 + -7a + 126 Combine like terms: 7a + -6a = 1a -26 + 1a = 30a + 10 + -18 + -7a + 126 Reorder the terms: -26 + 1a = 10 + -18 + 126 + 30a + -7a Combine like terms: 10 + -18 = -8 -26 + 1a = -8 + 126 + 30a + -7a Combine like terms: -8 + 126 = 118 -26 + 1a = 118 + 30a + -7a Combine like terms: 30a + -7a = 23a -26 + 1a = 118 + 23a Solving -26 + 1a = 118 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. -26 + 1a + -23a = 118 + 23a + -23a Combine like terms: 1a + -23a = -22a -26 + -22a = 118 + 23a + -23a Combine like terms: 23a + -23a = 0 -26 + -22a = 118 + 0 -26 + -22a = 118 Add '26' to each side of the equation. -26 + 26 + -22a = 118 + 26 Combine like terms: -26 + 26 = 0 0 + -22a = 118 + 26 -22a = 118 + 26 Combine like terms: 118 + 26 = 144 -22a = 144 Divide each side by '-22'. a = -6.545454545 Simplifying a = -6.545454545
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