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Simplifying 8(3a + -5b + 2) = 0 Reorder the terms: 8(2 + 3a + -5b) = 0 (2 * 8 + 3a * 8 + -5b * 8) = 0 (16 + 24a + -40b) = 0 Solving 16 + 24a + -40b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 24a + -16 + -40b = 0 + -16 Reorder the terms: 16 + -16 + 24a + -40b = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 24a + -40b = 0 + -16 24a + -40b = 0 + -16 Combine like terms: 0 + -16 = -16 24a + -40b = -16 Add '40b' to each side of the equation. 24a + -40b + 40b = -16 + 40b Combine like terms: -40b + 40b = 0 24a + 0 = -16 + 40b 24a = -16 + 40b Divide each side by '24'. a = -0.6666666667 + 1.666666667b Simplifying a = -0.6666666667 + 1.666666667b
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