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Simplifying 0.75a + -6 = 1.5a + 0.25 Reorder the terms: -6 + 0.75a = 1.5a + 0.25 Reorder the terms: -6 + 0.75a = 0.25 + 1.5a Solving -6 + 0.75a = 0.25 + 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. -6 + 0.75a + -1.5a = 0.25 + 1.5a + -1.5a Combine like terms: 0.75a + -1.5a = -0.75a -6 + -0.75a = 0.25 + 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 -6 + -0.75a = 0.25 + 0.0 -6 + -0.75a = 0.25 Add '6' to each side of the equation. -6 + 6 + -0.75a = 0.25 + 6 Combine like terms: -6 + 6 = 0 0 + -0.75a = 0.25 + 6 -0.75a = 0.25 + 6 Combine like terms: 0.25 + 6 = 6.25 -0.75a = 6.25 Divide each side by '-0.75'. a = -8.333333333 Simplifying a = -8.333333333
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