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Simplifying 4(2a + -3) + -1(4a + -6) = 0 Reorder the terms: 4(-3 + 2a) + -1(4a + -6) = 0 (-3 * 4 + 2a * 4) + -1(4a + -6) = 0 (-12 + 8a) + -1(4a + -6) = 0 Reorder the terms: -12 + 8a + -1(-6 + 4a) = 0 -12 + 8a + (-6 * -1 + 4a * -1) = 0 -12 + 8a + (6 + -4a) = 0 Reorder the terms: -12 + 6 + 8a + -4a = 0 Combine like terms: -12 + 6 = -6 -6 + 8a + -4a = 0 Combine like terms: 8a + -4a = 4a -6 + 4a = 0 Solving -6 + 4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + 4a = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 4a = 0 + 6 4a = 0 + 6 Combine like terms: 0 + 6 = 6 4a = 6 Divide each side by '4'. a = 1.5 Simplifying a = 1.5
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