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Simplifying 0.125(a + -52) = 1 + 2a Reorder the terms: 0.125(-52 + a) = 1 + 2a (-52 * 0.125 + a * 0.125) = 1 + 2a (-6.5 + 0.125a) = 1 + 2a Solving -6.5 + 0.125a = 1 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -6.5 + 0.125a + -2a = 1 + 2a + -2a Combine like terms: 0.125a + -2a = -1.875a -6.5 + -1.875a = 1 + 2a + -2a Combine like terms: 2a + -2a = 0 -6.5 + -1.875a = 1 + 0 -6.5 + -1.875a = 1 Add '6.5' to each side of the equation. -6.5 + 6.5 + -1.875a = 1 + 6.5 Combine like terms: -6.5 + 6.5 = 0.0 0.0 + -1.875a = 1 + 6.5 -1.875a = 1 + 6.5 Combine like terms: 1 + 6.5 = 7.5 -1.875a = 7.5 Divide each side by '-1.875'. a = -4 Simplifying a = -4
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