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Simplifying 0.625a + 6 = 0.750a Reorder the terms: 6 + 0.625a = 0.750a Solving 6 + 0.625a = 0.750a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.750a' to each side of the equation. 6 + 0.625a + -0.750a = 0.750a + -0.750a Combine like terms: 0.625a + -0.750a = -0.125a 6 + -0.125a = 0.750a + -0.750a Combine like terms: 0.750a + -0.750a = 0.000 6 + -0.125a = 0.000 Add '-6' to each side of the equation. 6 + -6 + -0.125a = 0.000 + -6 Combine like terms: 6 + -6 = 0 0 + -0.125a = 0.000 + -6 -0.125a = 0.000 + -6 Combine like terms: 0.000 + -6 = -6 -0.125a = -6 Divide each side by '-0.125'. a = 48 Simplifying a = 48
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