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Simplifying 7(2 + -3a) + 6(5a + -2) = 17 (2 * 7 + -3a * 7) + 6(5a + -2) = 17 (14 + -21a) + 6(5a + -2) = 17 Reorder the terms: 14 + -21a + 6(-2 + 5a) = 17 14 + -21a + (-2 * 6 + 5a * 6) = 17 14 + -21a + (-12 + 30a) = 17 Reorder the terms: 14 + -12 + -21a + 30a = 17 Combine like terms: 14 + -12 = 2 2 + -21a + 30a = 17 Combine like terms: -21a + 30a = 9a 2 + 9a = 17 Solving 2 + 9a = 17 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 9a = 17 + -2 Combine like terms: 2 + -2 = 0 0 + 9a = 17 + -2 9a = 17 + -2 Combine like terms: 17 + -2 = 15 9a = 15 Divide each side by '9'. a = 1.666666667 Simplifying a = 1.666666667
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