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Simplifying -4(a + 5) + -6(12a + -30) = 0 Reorder the terms: -4(5 + a) + -6(12a + -30) = 0 (5 * -4 + a * -4) + -6(12a + -30) = 0 (-20 + -4a) + -6(12a + -30) = 0 Reorder the terms: -20 + -4a + -6(-30 + 12a) = 0 -20 + -4a + (-30 * -6 + 12a * -6) = 0 -20 + -4a + (180 + -72a) = 0 Reorder the terms: -20 + 180 + -4a + -72a = 0 Combine like terms: -20 + 180 = 160 160 + -4a + -72a = 0 Combine like terms: -4a + -72a = -76a 160 + -76a = 0 Solving 160 + -76a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-160' to each side of the equation. 160 + -160 + -76a = 0 + -160 Combine like terms: 160 + -160 = 0 0 + -76a = 0 + -160 -76a = 0 + -160 Combine like terms: 0 + -160 = -160 -76a = -160 Divide each side by '-76'. a = 2.105263158 Simplifying a = 2.105263158
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