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Simplifying 0.2a + -42 = 29 + 0.1a Reorder the terms: -42 + 0.2a = 29 + 0.1a Solving -42 + 0.2a = 29 + 0.1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.1a' to each side of the equation. -42 + 0.2a + -0.1a = 29 + 0.1a + -0.1a Combine like terms: 0.2a + -0.1a = 0.1a -42 + 0.1a = 29 + 0.1a + -0.1a Combine like terms: 0.1a + -0.1a = 0.0 -42 + 0.1a = 29 + 0.0 -42 + 0.1a = 29 Add '42' to each side of the equation. -42 + 42 + 0.1a = 29 + 42 Combine like terms: -42 + 42 = 0 0 + 0.1a = 29 + 42 0.1a = 29 + 42 Combine like terms: 29 + 42 = 71 0.1a = 71 Divide each side by '0.1'. a = 710 Simplifying a = 710
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