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Simplifying 3a + 7b + -6b + 12 = 0 Reorder the terms: 12 + 3a + 7b + -6b = 0 Combine like terms: 7b + -6b = 1b 12 + 3a + 1b = 0 Solving 12 + 3a + 1b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 3a + -12 + 1b = 0 + -12 Reorder the terms: 12 + -12 + 3a + 1b = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 3a + 1b = 0 + -12 3a + 1b = 0 + -12 Combine like terms: 0 + -12 = -12 3a + 1b = -12 Add '-1b' to each side of the equation. 3a + 1b + -1b = -12 + -1b Combine like terms: 1b + -1b = 0 3a + 0 = -12 + -1b 3a = -12 + -1b Divide each side by '3'. a = -4 + -0.3333333333b Simplifying a = -4 + -0.3333333333b
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