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Simplifying 28 + 2a = 4(1 + 2a) + -3a 28 + 2a = (1 * 4 + 2a * 4) + -3a 28 + 2a = (4 + 8a) + -3a Combine like terms: 8a + -3a = 5a 28 + 2a = 4 + 5a Solving 28 + 2a = 4 + 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. 28 + 2a + -5a = 4 + 5a + -5a Combine like terms: 2a + -5a = -3a 28 + -3a = 4 + 5a + -5a Combine like terms: 5a + -5a = 0 28 + -3a = 4 + 0 28 + -3a = 4 Add '-28' to each side of the equation. 28 + -28 + -3a = 4 + -28 Combine like terms: 28 + -28 = 0 0 + -3a = 4 + -28 -3a = 4 + -28 Combine like terms: 4 + -28 = -24 -3a = -24 Divide each side by '-3'. a = 8 Simplifying a = 8
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