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Simplifying 6e(2a + -3b + 4) = 0 Reorder the terms: 6e(4 + 2a + -3b) = 0 (4 * 6e + 2a * 6e + -3b * 6e) = 0 Reorder the terms: (12ae + -18be + 24e) = 0 (12ae + -18be + 24e) = 0 Solving 12ae + -18be + 24e = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18be' to each side of the equation. 12ae + -18be + 18be + 24e = 0 + 18be Combine like terms: -18be + 18be = 0 12ae + 0 + 24e = 0 + 18be 12ae + 24e = 0 + 18be Remove the zero: 12ae + 24e = 18be Add '-24e' to each side of the equation. 12ae + 24e + -24e = 18be + -24e Combine like terms: 24e + -24e = 0 12ae + 0 = 18be + -24e 12ae = 18be + -24e Divide each side by '12e'. a = 1.5b + -2 Simplifying a = 1.5b + -2 Reorder the terms: a = -2 + 1.5b
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