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Simplifying 2 + -5(2a + -3) = 4(3 + -4a) Reorder the terms: 2 + -5(-3 + 2a) = 4(3 + -4a) 2 + (-3 * -5 + 2a * -5) = 4(3 + -4a) 2 + (15 + -10a) = 4(3 + -4a) Combine like terms: 2 + 15 = 17 17 + -10a = 4(3 + -4a) 17 + -10a = (3 * 4 + -4a * 4) 17 + -10a = (12 + -16a) Solving 17 + -10a = 12 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 17 + -10a + 16a = 12 + -16a + 16a Combine like terms: -10a + 16a = 6a 17 + 6a = 12 + -16a + 16a Combine like terms: -16a + 16a = 0 17 + 6a = 12 + 0 17 + 6a = 12 Add '-17' to each side of the equation. 17 + -17 + 6a = 12 + -17 Combine like terms: 17 + -17 = 0 0 + 6a = 12 + -17 6a = 12 + -17 Combine like terms: 12 + -17 = -5 6a = -5 Divide each side by '6'. a = -0.8333333333 Simplifying a = -0.8333333333
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