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Simplifying a + -6 = 15 + 8a Reorder the terms: -6 + a = 15 + 8a Solving -6 + a = 15 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -6 + a + -8a = 15 + 8a + -8a Combine like terms: a + -8a = -7a -6 + -7a = 15 + 8a + -8a Combine like terms: 8a + -8a = 0 -6 + -7a = 15 + 0 -6 + -7a = 15 Add '6' to each side of the equation. -6 + 6 + -7a = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7a = 15 + 6 -7a = 15 + 6 Combine like terms: 15 + 6 = 21 -7a = 21 Divide each side by '-7'. a = -3 Simplifying a = -3
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