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Simplifying 12(a + 0.3 + -1b + 0.4) = 0 Reorder the terms: 12(0.3 + 0.4 + a + -1b) = 0 Combine like terms: 0.3 + 0.4 = 0.7 12(0.7 + a + -1b) = 0 (0.7 * 12 + a * 12 + -1b * 12) = 0 (8.4 + 12a + -12b) = 0 Solving 8.4 + 12a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.4' to each side of the equation. 8.4 + 12a + -8.4 + -12b = 0 + -8.4 Reorder the terms: 8.4 + -8.4 + 12a + -12b = 0 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 12a + -12b = 0 + -8.4 12a + -12b = 0 + -8.4 Combine like terms: 0 + -8.4 = -8.4 12a + -12b = -8.4 Add '12b' to each side of the equation. 12a + -12b + 12b = -8.4 + 12b Combine like terms: -12b + 12b = 0 12a + 0 = -8.4 + 12b 12a = -8.4 + 12b Divide each side by '12'. a = -0.7 + b Simplifying a = -0.7 + b
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