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Simplifying 57 = 6(3a + -2) + 5a Reorder the terms: 57 = 6(-2 + 3a) + 5a 57 = (-2 * 6 + 3a * 6) + 5a 57 = (-12 + 18a) + 5a Combine like terms: 18a + 5a = 23a 57 = -12 + 23a Solving 57 = -12 + 23a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-23a' to each side of the equation. 57 + -23a = -12 + 23a + -23a Combine like terms: 23a + -23a = 0 57 + -23a = -12 + 0 57 + -23a = -12 Add '-57' to each side of the equation. 57 + -57 + -23a = -12 + -57 Combine like terms: 57 + -57 = 0 0 + -23a = -12 + -57 -23a = -12 + -57 Combine like terms: -12 + -57 = -69 -23a = -69 Divide each side by '-23'. a = 3 Simplifying a = 3
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