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Simplifying 6(2a + -5b + 1) = 0 Reorder the terms: 6(1 + 2a + -5b) = 0 (1 * 6 + 2a * 6 + -5b * 6) = 0 (6 + 12a + -30b) = 0 Solving 6 + 12a + -30b = 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 + 12a + -6 + -30b = 0 + -6 Reorder the terms: 6 + -6 + 12a + -30b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 12a + -30b = 0 + -6 12a + -30b = 0 + -6 Combine like terms: 0 + -6 = -6 12a + -30b = -6 Add '30b' to each side of the equation. 12a + -30b + 30b = -6 + 30b Combine like terms: -30b + 30b = 0 12a + 0 = -6 + 30b 12a = -6 + 30b Divide each side by '12'. a = -0.5 + 2.5b Simplifying a = -0.5 + 2.5b
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