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Simplifying 3(x + 6A) + -4 = 6x + 2 Reorder the terms: 3(6A + x) + -4 = 6x + 2 (6A * 3 + x * 3) + -4 = 6x + 2 (18A + 3x) + -4 = 6x + 2 Reorder the terms: -4 + 18A + 3x = 6x + 2 Reorder the terms: -4 + 18A + 3x = 2 + 6x Solving -4 + 18A + 3x = 2 + 6x Solving for variable 'A'. Move all terms containing A to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 18A + 4 + 3x = 2 + 4 + 6x Reorder the terms: -4 + 4 + 18A + 3x = 2 + 4 + 6x Combine like terms: -4 + 4 = 0 0 + 18A + 3x = 2 + 4 + 6x 18A + 3x = 2 + 4 + 6x Combine like terms: 2 + 4 = 6 18A + 3x = 6 + 6x Add '-3x' to each side of the equation. 18A + 3x + -3x = 6 + 6x + -3x Combine like terms: 3x + -3x = 0 18A + 0 = 6 + 6x + -3x 18A = 6 + 6x + -3x Combine like terms: 6x + -3x = 3x 18A = 6 + 3x Divide each side by '18'. A = 0.3333333333 + 0.1666666667x Simplifying A = 0.3333333333 + 0.1666666667x
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