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Simplifying 0.6(a + b + -6) = 0 Reorder the terms: 0.6(-6 + a + b) = 0 (-6 * 0.6 + a * 0.6 + b * 0.6) = 0 (-3.6 + 0.6a + 0.6b) = 0 Solving -3.6 + 0.6a + 0.6b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3.6' to each side of the equation. -3.6 + 0.6a + 3.6 + 0.6b = 0 + 3.6 Reorder the terms: -3.6 + 3.6 + 0.6a + 0.6b = 0 + 3.6 Combine like terms: -3.6 + 3.6 = 0.0 0.0 + 0.6a + 0.6b = 0 + 3.6 0.6a + 0.6b = 0 + 3.6 Combine like terms: 0 + 3.6 = 3.6 0.6a + 0.6b = 3.6 Add '-0.6b' to each side of the equation. 0.6a + 0.6b + -0.6b = 3.6 + -0.6b Combine like terms: 0.6b + -0.6b = 0.0 0.6a + 0.0 = 3.6 + -0.6b 0.6a = 3.6 + -0.6b Divide each side by '0.6'. a = 6 + -1b Simplifying a = 6 + -1b
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