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Simplifying -3(7a) + 17 + 6a = 82 Remove parenthesis around (7a) -3 * 7a + 17 + 6a = 82 Multiply -3 * 7 -21a + 17 + 6a = 82 Reorder the terms: 17 + -21a + 6a = 82 Combine like terms: -21a + 6a = -15a 17 + -15a = 82 Solving 17 + -15a = 82 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -15a = 82 + -17 Combine like terms: 17 + -17 = 0 0 + -15a = 82 + -17 -15a = 82 + -17 Combine like terms: 82 + -17 = 65 -15a = 65 Divide each side by '-15'. a = -4.333333333 Simplifying a = -4.333333333
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