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Simplifying 5(6a + -2) = 8a + -1(4 + 2a) Reorder the terms: 5(-2 + 6a) = 8a + -1(4 + 2a) (-2 * 5 + 6a * 5) = 8a + -1(4 + 2a) (-10 + 30a) = 8a + -1(4 + 2a) -10 + 30a = 8a + (4 * -1 + 2a * -1) -10 + 30a = 8a + (-4 + -2a) Reorder the terms: -10 + 30a = -4 + 8a + -2a Combine like terms: 8a + -2a = 6a -10 + 30a = -4 + 6a Solving -10 + 30a = -4 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -10 + 30a + -6a = -4 + 6a + -6a Combine like terms: 30a + -6a = 24a -10 + 24a = -4 + 6a + -6a Combine like terms: 6a + -6a = 0 -10 + 24a = -4 + 0 -10 + 24a = -4 Add '10' to each side of the equation. -10 + 10 + 24a = -4 + 10 Combine like terms: -10 + 10 = 0 0 + 24a = -4 + 10 24a = -4 + 10 Combine like terms: -4 + 10 = 6 24a = 6 Divide each side by '24'. a = 0.25 Simplifying a = 0.25
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