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Simplifying 8a + -2a + -10 = 2a + -2 Reorder the terms: -10 + 8a + -2a = 2a + -2 Combine like terms: 8a + -2a = 6a -10 + 6a = 2a + -2 Reorder the terms: -10 + 6a = -2 + 2a Solving -10 + 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. -10 + 6a + -2a = -2 + 2a + -2a Combine like terms: 6a + -2a = 4a -10 + 4a = -2 + 2a + -2a Combine like terms: 2a + -2a = 0 -10 + 4a = -2 + 0 -10 + 4a = -2 Add '10' to each side of the equation. -10 + 10 + 4a = -2 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = -2 + 10 4a = -2 + 10 Combine like terms: -2 + 10 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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