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Simplifying 1 + 2(3a + 32) = 5a + -1(-11) Reorder the terms: 1 + 2(32 + 3a) = 5a + -1(-11) 1 + (32 * 2 + 3a * 2) = 5a + -1(-11) 1 + (64 + 6a) = 5a + -1(-11) Combine like terms: 1 + 64 = 65 65 + 6a = 5a + -1(-11) Multiply -1 * -11 65 + 6a = 5a + 11 Reorder the terms: 65 + 6a = 11 + 5a Solving 65 + 6a = 11 + 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. 65 + 6a + -5a = 11 + 5a + -5a Combine like terms: 6a + -5a = 1a 65 + 1a = 11 + 5a + -5a Combine like terms: 5a + -5a = 0 65 + 1a = 11 + 0 65 + 1a = 11 Add '-65' to each side of the equation. 65 + -65 + 1a = 11 + -65 Combine like terms: 65 + -65 = 0 0 + 1a = 11 + -65 1a = 11 + -65 Combine like terms: 11 + -65 = -54 1a = -54 Divide each side by '1'. a = -54 Simplifying a = -54
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