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Simplifying a + -2 + 3a = 8 + 7a + -6 Reorder the terms: -2 + a + 3a = 8 + 7a + -6 Combine like terms: a + 3a = 4a -2 + 4a = 8 + 7a + -6 Reorder the terms: -2 + 4a = 8 + -6 + 7a Combine like terms: 8 + -6 = 2 -2 + 4a = 2 + 7a Solving -2 + 4a = 2 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -2 + 4a + -7a = 2 + 7a + -7a Combine like terms: 4a + -7a = -3a -2 + -3a = 2 + 7a + -7a Combine like terms: 7a + -7a = 0 -2 + -3a = 2 + 0 -2 + -3a = 2 Add '2' to each side of the equation. -2 + 2 + -3a = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -3a = 2 + 2 -3a = 2 + 2 Combine like terms: 2 + 2 = 4 -3a = 4 Divide each side by '-3'. a = -1.333333333 Simplifying a = -1.333333333
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