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Simplifying 10 + -3(4 + -6a) = -1(6a + 12) 10 + (4 * -3 + -6a * -3) = -1(6a + 12) 10 + (-12 + 18a) = -1(6a + 12) Combine like terms: 10 + -12 = -2 -2 + 18a = -1(6a + 12) Reorder the terms: -2 + 18a = -1(12 + 6a) -2 + 18a = (12 * -1 + 6a * -1) -2 + 18a = (-12 + -6a) Solving -2 + 18a = -12 + -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 = -12 + -6a + 6a Combine like terms: 18a + 6a = 24a -2 + 24a = -12 + -6a + 6a Combine like terms: -6a + 6a = 0 -2 + 24a = -12 + 0 -2 + 24a = -12 Add '2' to each side of the equation. -2 + 2 + 24a = -12 + 2 Combine like terms: -2 + 2 = 0 0 + 24a = -12 + 2 24a = -12 + 2 Combine like terms: -12 + 2 = -10 24a = -10 Divide each side by '24'. a = -0.4166666667 Simplifying a = -0.4166666667
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