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Simplifying 1.6(4a + -5) + -8(-1.5a + 2) = 0 Reorder the terms: 1.6(-5 + 4a) + -8(-1.5a + 2) = 0 (-5 * 1.6 + 4a * 1.6) + -8(-1.5a + 2) = 0 (-8 + 6.4a) + -8(-1.5a + 2) = 0 Reorder the terms: -8 + 6.4a + -8(2 + -1.5a) = 0 -8 + 6.4a + (2 * -8 + -1.5a * -8) = 0 -8 + 6.4a + (-16 + 12a) = 0 Reorder the terms: -8 + -16 + 6.4a + 12a = 0 Combine like terms: -8 + -16 = -24 -24 + 6.4a + 12a = 0 Combine like terms: 6.4a + 12a = 18.4a -24 + 18.4a = 0 Solving -24 + 18.4a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 18.4a = 0 + 24 Combine like terms: -24 + 24 = 0 0 + 18.4a = 0 + 24 18.4a = 0 + 24 Combine like terms: 0 + 24 = 24 18.4a = 24 Divide each side by '18.4'. a = 1.304347826 Simplifying a = 1.304347826
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