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Simplifying 10 + 2(2a + 1) = 5a + -2 Reorder the terms: 10 + 2(1 + 2a) = 5a + -2 10 + (1 * 2 + 2a * 2) = 5a + -2 10 + (2 + 4a) = 5a + -2 Combine like terms: 10 + 2 = 12 12 + 4a = 5a + -2 Reorder the terms: 12 + 4a = -2 + 5a Solving 12 + 4a = -2 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 12 + 4a + -5a = -2 + 5a + -5a Combine like terms: 4a + -5a = -1a 12 + -1a = -2 + 5a + -5a Combine like terms: 5a + -5a = 0 12 + -1a = -2 + 0 12 + -1a = -2 Add '-12' to each side of the equation. 12 + -12 + -1a = -2 + -12 Combine like terms: 12 + -12 = 0 0 + -1a = -2 + -12 -1a = -2 + -12 Combine like terms: -2 + -12 = -14 -1a = -14 Divide each side by '-1'. a = 14 Simplifying a = 14
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