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Simplifying 0.04a + 0.8 = 0.14a + -9.8 Reorder the terms: 0.8 + 0.04a = 0.14a + -9.8 Reorder the terms: 0.8 + 0.04a = -9.8 + 0.14a Solving 0.8 + 0.04a = -9.8 + 0.14a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.14a' to each side of the equation. 0.8 + 0.04a + -0.14a = -9.8 + 0.14a + -0.14a Combine like terms: 0.04a + -0.14a = -0.1a 0.8 + -0.1a = -9.8 + 0.14a + -0.14a Combine like terms: 0.14a + -0.14a = 0.00 0.8 + -0.1a = -9.8 + 0.00 0.8 + -0.1a = -9.8 Add '-0.8' to each side of the equation. 0.8 + -0.8 + -0.1a = -9.8 + -0.8 Combine like terms: 0.8 + -0.8 = 0.0 0.0 + -0.1a = -9.8 + -0.8 -0.1a = -9.8 + -0.8 Combine like terms: -9.8 + -0.8 = -10.6 -0.1a = -10.6 Divide each side by '-0.1'. a = 106 Simplifying a = 106
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