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Simplifying 3ax + 6 + -4(x + -1b) = 11b + 14 Reorder the terms: 3ax + 6 + -4(-1b + x) = 11b + 14 3ax + 6 + (-1b * -4 + x * -4) = 11b + 14 3ax + 6 + (4b + -4x) = 11b + 14 Reorder the terms: 6 + 3ax + 4b + -4x = 11b + 14 Reorder the terms: 6 + 3ax + 4b + -4x = 14 + 11b Solving 6 + 3ax + 4b + -4x = 14 + 11b Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3ax + 4b + -6 + -4x = 14 + -6 + 11b Reorder the terms: 6 + -6 + 3ax + 4b + -4x = 14 + -6 + 11b Combine like terms: 6 + -6 = 0 0 + 3ax + 4b + -4x = 14 + -6 + 11b 3ax + 4b + -4x = 14 + -6 + 11b Combine like terms: 14 + -6 = 8 3ax + 4b + -4x = 8 + 11b Add '-4b' to each side of the equation. 3ax + 4b + -4b + -4x = 8 + 11b + -4b Combine like terms: 4b + -4b = 0 3ax + 0 + -4x = 8 + 11b + -4b 3ax + -4x = 8 + 11b + -4b Combine like terms: 11b + -4b = 7b 3ax + -4x = 8 + 7b Add '4x' to each side of the equation. 3ax + -4x + 4x = 8 + 7b + 4x Combine like terms: -4x + 4x = 0 3ax + 0 = 8 + 7b + 4x 3ax = 8 + 7b + 4x Divide each side by '3x'. a = 2.666666667x-1 + 2.333333333bx-1 + 1.333333333 Simplifying a = 2.666666667x-1 + 2.333333333bx-1 + 1.333333333 Reorder the terms: a = 1.333333333 + 2.333333333bx-1 + 2.666666667x-1
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