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Simplifying 83 = 3 + 8(a + 4) Reorder the terms: 83 = 3 + 8(4 + a) 83 = 3 + (4 * 8 + a * 8) 83 = 3 + (32 + 8a) Combine like terms: 3 + 32 = 35 83 = 35 + 8a Solving 83 = 35 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 83 + -8a = 35 + 8a + -8a Combine like terms: 8a + -8a = 0 83 + -8a = 35 + 0 83 + -8a = 35 Add '-83' to each side of the equation. 83 + -83 + -8a = 35 + -83 Combine like terms: 83 + -83 = 0 0 + -8a = 35 + -83 -8a = 35 + -83 Combine like terms: 35 + -83 = -48 -8a = -48 Divide each side by '-8'. a = 6 Simplifying a = 6
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