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