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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 = -1a -6 + -1a = 15 + 2a + -2a Combine like terms: 2a + -2a = 0 -6 + -1a = 15 + 0 -6 + -1a = 15 Add '6' to each side of the equation. -6 + 6 + -1a = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = 15 + 6 -1a = 15 + 6 Combine like terms: 15 + 6 = 21 -1a = 21 Divide each side by '-1'. a = -21 Simplifying a = -21
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