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Simplifying 65a + 40 = -5(-3 + -6a) Reorder the terms: 40 + 65a = -5(-3 + -6a) 40 + 65a = (-3 * -5 + -6a * -5) 40 + 65a = (15 + 30a) Solving 40 + 65a = 15 + 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. 40 + 65a + -30a = 15 + 30a + -30a Combine like terms: 65a + -30a = 35a 40 + 35a = 15 + 30a + -30a Combine like terms: 30a + -30a = 0 40 + 35a = 15 + 0 40 + 35a = 15 Add '-40' to each side of the equation. 40 + -40 + 35a = 15 + -40 Combine like terms: 40 + -40 = 0 0 + 35a = 15 + -40 35a = 15 + -40 Combine like terms: 15 + -40 = -25 35a = -25 Divide each side by '35'. a = -0.7142857143 Simplifying a = -0.7142857143
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