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Simplifying 33a + -12 = 0.75a + 6 Reorder the terms: -12 + 33a = 0.75a + 6 Reorder the terms: -12 + 33a = 6 + 0.75a Solving -12 + 33a = 6 + 0.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75a' to each side of the equation. -12 + 33a + -0.75a = 6 + 0.75a + -0.75a Combine like terms: 33a + -0.75a = 32.25a -12 + 32.25a = 6 + 0.75a + -0.75a Combine like terms: 0.75a + -0.75a = 0.00 -12 + 32.25a = 6 + 0.00 -12 + 32.25a = 6 Add '12' to each side of the equation. -12 + 12 + 32.25a = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 32.25a = 6 + 12 32.25a = 6 + 12 Combine like terms: 6 + 12 = 18 32.25a = 18 Divide each side by '32.25'. a = 0.5581395349 Simplifying a = 0.5581395349
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