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Simplifying 0.75a + -0.16 = 0.67a + 0.25 Reorder the terms: -0.16 + 0.75a = 0.67a + 0.25 Reorder the terms: -0.16 + 0.75a = 0.25 + 0.67a Solving -0.16 + 0.75a = 0.25 + 0.67a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.67a' to each side of the equation. -0.16 + 0.75a + -0.67a = 0.25 + 0.67a + -0.67a Combine like terms: 0.75a + -0.67a = 0.08a -0.16 + 0.08a = 0.25 + 0.67a + -0.67a Combine like terms: 0.67a + -0.67a = 0.00 -0.16 + 0.08a = 0.25 + 0.00 -0.16 + 0.08a = 0.25 Add '0.16' to each side of the equation. -0.16 + 0.16 + 0.08a = 0.25 + 0.16 Combine like terms: -0.16 + 0.16 = 0.00 0.00 + 0.08a = 0.25 + 0.16 0.08a = 0.25 + 0.16 Combine like terms: 0.25 + 0.16 = 0.41 0.08a = 0.41 Divide each side by '0.08'. a = 5.125 Simplifying a = 5.125
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