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Simplifying 2[8 + 5a] = 28 + -2a [8 * 2 + 5a * 2] = 28 + -2a [16 + 10a] = 28 + -2a Solving 16 + 10a = 28 + -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. 16 + 10a + 2a = 28 + -2a + 2a Combine like terms: 10a + 2a = 12a 16 + 12a = 28 + -2a + 2a Combine like terms: -2a + 2a = 0 16 + 12a = 28 + 0 16 + 12a = 28 Add '-16' to each side of the equation. 16 + -16 + 12a = 28 + -16 Combine like terms: 16 + -16 = 0 0 + 12a = 28 + -16 12a = 28 + -16 Combine like terms: 28 + -16 = 12 12a = 12 Divide each side by '12'. a = 1 Simplifying a = 1
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