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Simplifying 6 + -0.75a = 0.5a + 1 Reorder the terms: 6 + -0.75a = 1 + 0.5a Solving 6 + -0.75a = 1 + 0.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.5a' to each side of the equation. 6 + -0.75a + -0.5a = 1 + 0.5a + -0.5a Combine like terms: -0.75a + -0.5a = -1.25a 6 + -1.25a = 1 + 0.5a + -0.5a Combine like terms: 0.5a + -0.5a = 0.0 6 + -1.25a = 1 + 0.0 6 + -1.25a = 1 Add '-6' to each side of the equation. 6 + -6 + -1.25a = 1 + -6 Combine like terms: 6 + -6 = 0 0 + -1.25a = 1 + -6 -1.25a = 1 + -6 Combine like terms: 1 + -6 = -5 -1.25a = -5 Divide each side by '-1.25'. a = 4 Simplifying a = 4
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