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Simplifying 32a + 11 + -28a = 50 + 2a + -1(-1) Reorder the terms: 11 + 32a + -28a = 50 + 2a + -1(-1) Combine like terms: 32a + -28a = 4a 11 + 4a = 50 + 2a + -1(-1) Multiply -1 * -1 11 + 4a = 50 + 2a + 1 Reorder the terms: 11 + 4a = 50 + 1 + 2a Combine like terms: 50 + 1 = 51 11 + 4a = 51 + 2a Solving 11 + 4a = 51 + 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. 11 + 4a + -2a = 51 + 2a + -2a Combine like terms: 4a + -2a = 2a 11 + 2a = 51 + 2a + -2a Combine like terms: 2a + -2a = 0 11 + 2a = 51 + 0 11 + 2a = 51 Add '-11' to each side of the equation. 11 + -11 + 2a = 51 + -11 Combine like terms: 11 + -11 = 0 0 + 2a = 51 + -11 2a = 51 + -11 Combine like terms: 51 + -11 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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