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Simplifying 0.25a + -12 = 1a + 6 Reorder the terms: -12 + 0.25a = 1a + 6 Reorder the terms: -12 + 0.25a = 6 + 1a Solving -12 + 0.25a = 6 + 1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -12 + 0.25a + -1a = 6 + 1a + -1a Combine like terms: 0.25a + -1a = -0.75a -12 + -0.75a = 6 + 1a + -1a Combine like terms: 1a + -1a = 0 -12 + -0.75a = 6 + 0 -12 + -0.75a = 6 Add '12' to each side of the equation. -12 + 12 + -0.75a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -0.75a = 6 + 12 -0.75a = 6 + 12 Combine like terms: 6 + 12 = 18 -0.75a = 18 Divide each side by '-0.75'. a = -24 Simplifying a = -24
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