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Simplifying 6a + -7 + 15 = 3a + -6 Reorder the terms: -7 + 15 + 6a = 3a + -6 Combine like terms: -7 + 15 = 8 8 + 6a = 3a + -6 Reorder the terms: 8 + 6a = -6 + 3a Solving 8 + 6a = -6 + 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. 8 + 6a + -3a = -6 + 3a + -3a Combine like terms: 6a + -3a = 3a 8 + 3a = -6 + 3a + -3a Combine like terms: 3a + -3a = 0 8 + 3a = -6 + 0 8 + 3a = -6 Add '-8' to each side of the equation. 8 + -8 + 3a = -6 + -8 Combine like terms: 8 + -8 = 0 0 + 3a = -6 + -8 3a = -6 + -8 Combine like terms: -6 + -8 = -14 3a = -14 Divide each side by '3'. a = -4.666666667 Simplifying a = -4.666666667
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