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Simplifying a + -6 = -3 + 2a + -2 + -8 Reorder the terms: -6 + a = -3 + 2a + -2 + -8 Reorder the terms: -6 + a = -3 + -2 + -8 + 2a Combine like terms: -3 + -2 = -5 -6 + a = -5 + -8 + 2a Combine like terms: -5 + -8 = -13 -6 + a = -13 + 2a Solving -6 + a = -13 + 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 = -13 + 2a + -2a Combine like terms: a + -2a = -1a -6 + -1a = -13 + 2a + -2a Combine like terms: 2a + -2a = 0 -6 + -1a = -13 + 0 -6 + -1a = -13 Add '6' to each side of the equation. -6 + 6 + -1a = -13 + 6 Combine like terms: -6 + 6 = 0 0 + -1a = -13 + 6 -1a = -13 + 6 Combine like terms: -13 + 6 = -7 -1a = -7 Divide each side by '-1'. a = 7 Simplifying a = 7
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