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Simplifying ax + 2(-3x + 4) = 6 Reorder the terms: ax + 2(4 + -3x) = 6 ax + (4 * 2 + -3x * 2) = 6 ax + (8 + -6x) = 6 Reorder the terms: 8 + ax + -6x = 6 Solving 8 + ax + -6x = 6 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + ax + -8 + -6x = 6 + -8 Reorder the terms: 8 + -8 + ax + -6x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + ax + -6x = 6 + -8 ax + -6x = 6 + -8 Combine like terms: 6 + -8 = -2 ax + -6x = -2 Add '6x' to each side of the equation. ax + -6x + 6x = -2 + 6x Combine like terms: -6x + 6x = 0 ax + 0 = -2 + 6x ax = -2 + 6x Divide each side by 'x'. a = -2x-1 + 6 Simplifying a = -2x-1 + 6 Reorder the terms: a = 6 + -2x-1
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