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Simplifying 0.13925 = a + (a + -0.07) * 0.75 Reorder the terms: 0.13925 = a + (-0.07 + a) * 0.75 Reorder the terms for easier multiplication: 0.13925 = a + 0.75(-0.07 + a) 0.13925 = a + (-0.07 * 0.75 + a * 0.75) 0.13925 = a + (-0.0525 + 0.75a) Reorder the terms: 0.13925 = -0.0525 + a + 0.75a Combine like terms: a + 0.75a = 1.75a 0.13925 = -0.0525 + 1.75a Solving 0.13925 = -0.0525 + 1.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.75a' to each side of the equation. 0.13925 + -1.75a = -0.0525 + 1.75a + -1.75a Combine like terms: 1.75a + -1.75a = 0.00 0.13925 + -1.75a = -0.0525 + 0.00 0.13925 + -1.75a = -0.0525 Add '-0.13925' to each side of the equation. 0.13925 + -0.13925 + -1.75a = -0.0525 + -0.13925 Combine like terms: 0.13925 + -0.13925 = 0.00000 0.00000 + -1.75a = -0.0525 + -0.13925 -1.75a = -0.0525 + -0.13925 Combine like terms: -0.0525 + -0.13925 = -0.19175 -1.75a = -0.19175 Divide each side by '-1.75'. a = 0.1095714286 Simplifying a = 0.1095714286
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