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Simplifying -2 = 8a + -1 + -10a Reorder the terms: -2 = -1 + 8a + -10a Combine like terms: 8a + -10a = -2a -2 = -1 + -2a Solving -2 = -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. -2 + 2a = -1 + -2a + 2a Combine like terms: -2a + 2a = 0 -2 + 2a = -1 + 0 -2 + 2a = -1 Add '2' to each side of the equation. -2 + 2 + 2a = -1 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = -1 + 2 2a = -1 + 2 Combine like terms: -1 + 2 = 1 2a = 1 Divide each side by '2'. a = 0.5 Simplifying a = 0.5
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