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Simplifying 0.25(6A + -12) + 5 = 33 Reorder the terms: 0.25(-12 + 6A) + 5 = 33 (-12 * 0.25 + 6A * 0.25) + 5 = 33 (-3 + 1.5A) + 5 = 33 Reorder the terms: -3 + 5 + 1.5A = 33 Combine like terms: -3 + 5 = 2 2 + 1.5A = 33 Solving 2 + 1.5A = 33 Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 1.5A = 33 + -2 Combine like terms: 2 + -2 = 0 0 + 1.5A = 33 + -2 1.5A = 33 + -2 Combine like terms: 33 + -2 = 31 1.5A = 31 Divide each side by '1.5'. A = 20.66666667 Simplifying A = 20.66666667
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