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