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Simplifying 2 + -5(3a + -4) = 3a + 2 Reorder the terms: 2 + -5(-4 + 3a) = 3a + 2 2 + (-4 * -5 + 3a * -5) = 3a + 2 2 + (20 + -15a) = 3a + 2 Combine like terms: 2 + 20 = 22 22 + -15a = 3a + 2 Reorder the terms: 22 + -15a = 2 + 3a Solving 22 + -15a = 2 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 22 + -15a + -3a = 2 + 3a + -3a Combine like terms: -15a + -3a = -18a 22 + -18a = 2 + 3a + -3a Combine like terms: 3a + -3a = 0 22 + -18a = 2 + 0 22 + -18a = 2 Add '-22' to each side of the equation. 22 + -22 + -18a = 2 + -22 Combine like terms: 22 + -22 = 0 0 + -18a = 2 + -22 -18a = 2 + -22 Combine like terms: 2 + -22 = -20 -18a = -20 Divide each side by '-18'. a = 1.111111111 Simplifying a = 1.111111111
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