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Simplifying 7(6 + -1a) + 5 = 33 (6 * 7 + -1a * 7) + 5 = 33 (42 + -7a) + 5 = 33 Reorder the terms: 42 + 5 + -7a = 33 Combine like terms: 42 + 5 = 47 47 + -7a = 33 Solving 47 + -7a = 33 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -7a = 33 + -47 Combine like terms: 47 + -47 = 0 0 + -7a = 33 + -47 -7a = 33 + -47 Combine like terms: 33 + -47 = -14 -7a = -14 Divide each side by '-7'. a = 2 Simplifying a = 2
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