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Simplifying -6 + a + -7 + 3a + -3 = 8a + 2 + 3a Reorder the terms: -6 + -7 + -3 + a + 3a = 8a + 2 + 3a Combine like terms: -6 + -7 = -13 -13 + -3 + a + 3a = 8a + 2 + 3a Combine like terms: -13 + -3 = -16 -16 + a + 3a = 8a + 2 + 3a Combine like terms: a + 3a = 4a -16 + 4a = 8a + 2 + 3a Reorder the terms: -16 + 4a = 2 + 8a + 3a Combine like terms: 8a + 3a = 11a -16 + 4a = 2 + 11a Solving -16 + 4a = 2 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -16 + 4a + -11a = 2 + 11a + -11a Combine like terms: 4a + -11a = -7a -16 + -7a = 2 + 11a + -11a Combine like terms: 11a + -11a = 0 -16 + -7a = 2 + 0 -16 + -7a = 2 Add '16' to each side of the equation. -16 + 16 + -7a = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -7a = 2 + 16 -7a = 2 + 16 Combine like terms: 2 + 16 = 18 -7a = 18 Divide each side by '-7'. a = -2.571428571 Simplifying a = -2.571428571
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