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Simplifying 17 + 7a = -6(1 + -5a) 17 + 7a = (1 * -6 + -5a * -6) 17 + 7a = (-6 + 30a) Solving 17 + 7a = -6 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 17 + 7a + -30a = -6 + 30a + -30a Combine like terms: 7a + -30a = -23a 17 + -23a = -6 + 30a + -30a Combine like terms: 30a + -30a = 0 17 + -23a = -6 + 0 17 + -23a = -6 Add '-17' to each side of the equation. 17 + -17 + -23a = -6 + -17 Combine like terms: 17 + -17 = 0 0 + -23a = -6 + -17 -23a = -6 + -17 Combine like terms: -6 + -17 = -23 -23a = -23 Divide each side by '-23'. a = 1 Simplifying a = 1
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