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Simplifying 3(0.25 + -0.5x) + -1ax = 8 (0.25 * 3 + -0.5x * 3) + -1ax = 8 (0.75 + -1.5x) + -1ax = 8 Reorder the terms: 0.75 + -1ax + -1.5x = 8 Solving 0.75 + -1ax + -1.5x = 8 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.75' to each side of the equation. 0.75 + -1ax + -0.75 + -1.5x = 8 + -0.75 Reorder the terms: 0.75 + -0.75 + -1ax + -1.5x = 8 + -0.75 Combine like terms: 0.75 + -0.75 = 0.00 0.00 + -1ax + -1.5x = 8 + -0.75 -1ax + -1.5x = 8 + -0.75 Combine like terms: 8 + -0.75 = 7.25 -1ax + -1.5x = 7.25 Add '1.5x' to each side of the equation. -1ax + -1.5x + 1.5x = 7.25 + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -1ax + 0.0 = 7.25 + 1.5x -1ax = 7.25 + 1.5x Divide each side by '-1x'. a = -7.25x-1 + -1.5 Simplifying a = -7.25x-1 + -1.5 Reorder the terms: a = -1.5 + -7.25x-1
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