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Simplifying 4(5a + 2) = -10a + 4 Reorder the terms: 4(2 + 5a) = -10a + 4 (2 * 4 + 5a * 4) = -10a + 4 (8 + 20a) = -10a + 4 Reorder the terms: 8 + 20a = 4 + -10a Solving 8 + 20a = 4 + -10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10a' to each side of the equation. 8 + 20a + 10a = 4 + -10a + 10a Combine like terms: 20a + 10a = 30a 8 + 30a = 4 + -10a + 10a Combine like terms: -10a + 10a = 0 8 + 30a = 4 + 0 8 + 30a = 4 Add '-8' to each side of the equation. 8 + -8 + 30a = 4 + -8 Combine like terms: 8 + -8 = 0 0 + 30a = 4 + -8 30a = 4 + -8 Combine like terms: 4 + -8 = -4 30a = -4 Divide each side by '30'. a = -0.1333333333 Simplifying a = -0.1333333333
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