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Simplifying a + 20 + 3a = -12 + -3a + -17 Reorder the terms: 20 + a + 3a = -12 + -3a + -17 Combine like terms: a + 3a = 4a 20 + 4a = -12 + -3a + -17 Reorder the terms: 20 + 4a = -12 + -17 + -3a Combine like terms: -12 + -17 = -29 20 + 4a = -29 + -3a Solving 20 + 4a = -29 + -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. 20 + 4a + 3a = -29 + -3a + 3a Combine like terms: 4a + 3a = 7a 20 + 7a = -29 + -3a + 3a Combine like terms: -3a + 3a = 0 20 + 7a = -29 + 0 20 + 7a = -29 Add '-20' to each side of the equation. 20 + -20 + 7a = -29 + -20 Combine like terms: 20 + -20 = 0 0 + 7a = -29 + -20 7a = -29 + -20 Combine like terms: -29 + -20 = -49 7a = -49 Divide each side by '7'. a = -7 Simplifying a = -7
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