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Simplifying 0.02a + 0.7 = 0.12a + -9.4 Reorder the terms: 0.7 + 0.02a = 0.12a + -9.4 Reorder the terms: 0.7 + 0.02a = -9.4 + 0.12a Solving 0.7 + 0.02a = -9.4 + 0.12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.12a' to each side of the equation. 0.7 + 0.02a + -0.12a = -9.4 + 0.12a + -0.12a Combine like terms: 0.02a + -0.12a = -0.1a 0.7 + -0.1a = -9.4 + 0.12a + -0.12a Combine like terms: 0.12a + -0.12a = 0.00 0.7 + -0.1a = -9.4 + 0.00 0.7 + -0.1a = -9.4 Add '-0.7' to each side of the equation. 0.7 + -0.7 + -0.1a = -9.4 + -0.7 Combine like terms: 0.7 + -0.7 = 0.0 0.0 + -0.1a = -9.4 + -0.7 -0.1a = -9.4 + -0.7 Combine like terms: -9.4 + -0.7 = -10.1 -0.1a = -10.1 Divide each side by '-0.1'. a = 101 Simplifying a = 101
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