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Simplifying -4(3a + -10) + -3(3a + 6) = 0 Reorder the terms: -4(-10 + 3a) + -3(3a + 6) = 0 (-10 * -4 + 3a * -4) + -3(3a + 6) = 0 (40 + -12a) + -3(3a + 6) = 0 Reorder the terms: 40 + -12a + -3(6 + 3a) = 0 40 + -12a + (6 * -3 + 3a * -3) = 0 40 + -12a + (-18 + -9a) = 0 Reorder the terms: 40 + -18 + -12a + -9a = 0 Combine like terms: 40 + -18 = 22 22 + -12a + -9a = 0 Combine like terms: -12a + -9a = -21a 22 + -21a = 0 Solving 22 + -21a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -21a = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -21a = 0 + -22 -21a = 0 + -22 Combine like terms: 0 + -22 = -22 -21a = -22 Divide each side by '-21'. a = 1.047619048 Simplifying a = 1.047619048
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