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Simplifying 6.0(a + b + -9) = 0 Reorder the terms: 6.0(-9 + a + b) = 0 (-9 * 6.0 + a * 6.0 + b * 6.0) = 0 (-54 + 6.0a + 6.0b) = 0 Solving -54 + 6.0a + 6.0b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '54' to each side of the equation. -54 + 6.0a + 54 + 6.0b = 0 + 54 Reorder the terms: -54 + 54 + 6.0a + 6.0b = 0 + 54 Combine like terms: -54 + 54 = 0 0 + 6.0a + 6.0b = 0 + 54 6.0a + 6.0b = 0 + 54 Combine like terms: 0 + 54 = 54 6.0a + 6.0b = 54 Add '-6.0b' to each side of the equation. 6.0a + 6.0b + -6.0b = 54 + -6.0b Combine like terms: 6.0b + -6.0b = 0.0 6.0a + 0.0 = 54 + -6.0b 6.0a = 54 + -6.0b Divide each side by '6.0'. a = 9 + -1b Simplifying a = 9 + -1b
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