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Simplifying 2a + 3(163 + -3a) = 174 2a + (163 * 3 + -3a * 3) = 174 2a + (489 + -9a) = 174 Reorder the terms: 489 + 2a + -9a = 174 Combine like terms: 2a + -9a = -7a 489 + -7a = 174 Solving 489 + -7a = 174 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-489' to each side of the equation. 489 + -489 + -7a = 174 + -489 Combine like terms: 489 + -489 = 0 0 + -7a = 174 + -489 -7a = 174 + -489 Combine like terms: 174 + -489 = -315 -7a = -315 Divide each side by '-7'. a = 45 Simplifying a = 45
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