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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 = -5a -16 + 4a = 2 + -5a Solving -16 + 4a = 2 + -5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '5a' to each side of the equation. -16 + 4a + 5a = 2 + -5a + 5a Combine like terms: 4a + 5a = 9a -16 + 9a = 2 + -5a + 5a Combine like terms: -5a + 5a = 0 -16 + 9a = 2 + 0 -16 + 9a = 2 Add '16' to each side of the equation. -16 + 16 + 9a = 2 + 16 Combine like terms: -16 + 16 = 0 0 + 9a = 2 + 16 9a = 2 + 16 Combine like terms: 2 + 16 = 18 9a = 18 Divide each side by '9'. a = 2 Simplifying a = 2
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