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Simplifying a + -6 = -2a + 15 Reorder the terms: -6 + a = -2a + 15 Reorder the terms: -6 + a = 15 + -2a Solving -6 + a = 15 + -2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '2a' to each side of the equation. -6 + a + 2a = 15 + -2a + 2a Combine like terms: a + 2a = 3a -6 + 3a = 15 + -2a + 2a Combine like terms: -2a + 2a = 0 -6 + 3a = 15 + 0 -6 + 3a = 15 Add '6' to each side of the equation. -6 + 6 + 3a = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 3a = 15 + 6 3a = 15 + 6 Combine like terms: 15 + 6 = 21 3a = 21 Divide each side by '3'. a = 7 Simplifying a = 7
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