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Simplifying 10 + 2(2a + 1) = a + -3 Reorder the terms: 10 + 2(1 + 2a) = a + -3 10 + (1 * 2 + 2a * 2) = a + -3 10 + (2 + 4a) = a + -3 Combine like terms: 10 + 2 = 12 12 + 4a = a + -3 Reorder the terms: 12 + 4a = -3 + a Solving 12 + 4a = -3 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 12 + 4a + -1a = -3 + a + -1a Combine like terms: 4a + -1a = 3a 12 + 3a = -3 + a + -1a Combine like terms: a + -1a = 0 12 + 3a = -3 + 0 12 + 3a = -3 Add '-12' to each side of the equation. 12 + -12 + 3a = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 3a = -3 + -12 3a = -3 + -12 Combine like terms: -3 + -12 = -15 3a = -15 Divide each side by '3'. a = -5 Simplifying a = -5
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