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Simplifying a + 8 = 2a + -10 Reorder the terms: 8 + a = 2a + -10 Reorder the terms: 8 + a = -10 + 2a Solving 8 + a = -10 + 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 = -10 + 2a + -2a Combine like terms: a + -2a = -1a 8 + -1a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 8 + -1a = -10 + 0 8 + -1a = -10 Add '-8' to each side of the equation. 8 + -8 + -1a = -10 + -8 Combine like terms: 8 + -8 = 0 0 + -1a = -10 + -8 -1a = -10 + -8 Combine like terms: -10 + -8 = -18 -1a = -18 Divide each side by '-1'. a = 18 Simplifying a = 18
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