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Simplifying 2(-5a + 1) + -4(4a + -12) = 0 Reorder the terms: 2(1 + -5a) + -4(4a + -12) = 0 (1 * 2 + -5a * 2) + -4(4a + -12) = 0 (2 + -10a) + -4(4a + -12) = 0 Reorder the terms: 2 + -10a + -4(-12 + 4a) = 0 2 + -10a + (-12 * -4 + 4a * -4) = 0 2 + -10a + (48 + -16a) = 0 Reorder the terms: 2 + 48 + -10a + -16a = 0 Combine like terms: 2 + 48 = 50 50 + -10a + -16a = 0 Combine like terms: -10a + -16a = -26a 50 + -26a = 0 Solving 50 + -26a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-50' to each side of the equation. 50 + -50 + -26a = 0 + -50 Combine like terms: 50 + -50 = 0 0 + -26a = 0 + -50 -26a = 0 + -50 Combine like terms: 0 + -50 = -50 -26a = -50 Divide each side by '-26'. a = 1.923076923 Simplifying a = 1.923076923
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