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Simplifying -3(6a + -2) + -4 = 6a + -4(3a + -10) + 2 Reorder the terms: -3(-2 + 6a) + -4 = 6a + -4(3a + -10) + 2 (-2 * -3 + 6a * -3) + -4 = 6a + -4(3a + -10) + 2 (6 + -18a) + -4 = 6a + -4(3a + -10) + 2 Reorder the terms: 6 + -4 + -18a = 6a + -4(3a + -10) + 2 Combine like terms: 6 + -4 = 2 2 + -18a = 6a + -4(3a + -10) + 2 Reorder the terms: 2 + -18a = 6a + -4(-10 + 3a) + 2 2 + -18a = 6a + (-10 * -4 + 3a * -4) + 2 2 + -18a = 6a + (40 + -12a) + 2 Reorder the terms: 2 + -18a = 40 + 2 + 6a + -12a Combine like terms: 40 + 2 = 42 2 + -18a = 42 + 6a + -12a Combine like terms: 6a + -12a = -6a 2 + -18a = 42 + -6a Solving 2 + -18a = 42 + -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. 2 + -18a + 6a = 42 + -6a + 6a Combine like terms: -18a + 6a = -12a 2 + -12a = 42 + -6a + 6a Combine like terms: -6a + 6a = 0 2 + -12a = 42 + 0 2 + -12a = 42 Add '-2' to each side of the equation. 2 + -2 + -12a = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -12a = 42 + -2 -12a = 42 + -2 Combine like terms: 42 + -2 = 40 -12a = 40 Divide each side by '-12'. a = -3.333333333 Simplifying a = -3.333333333
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