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Simplifying 8a + -2a + 5 = 2(a + -1) Reorder the terms: 5 + 8a + -2a = 2(a + -1) Combine like terms: 8a + -2a = 6a 5 + 6a = 2(a + -1) Reorder the terms: 5 + 6a = 2(-1 + a) 5 + 6a = (-1 * 2 + a * 2) 5 + 6a = (-2 + 2a) Solving 5 + 6a = -2 + 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. 5 + 6a + -2a = -2 + 2a + -2a Combine like terms: 6a + -2a = 4a 5 + 4a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 5 + 4a = -2 + 0 5 + 4a = -2 Add '-5' to each side of the equation. 5 + -5 + 4a = -2 + -5 Combine like terms: 5 + -5 = 0 0 + 4a = -2 + -5 4a = -2 + -5 Combine like terms: -2 + -5 = -7 4a = -7 Divide each side by '4'. a = -1.75 Simplifying a = -1.75
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