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Simplifying 2x(b + 6) + -12 = 28 Reorder the terms: 2x(6 + b) + -12 = 28 (6 * 2x + b * 2x) + -12 = 28 Reorder the terms: (2bx + 12x) + -12 = 28 (2bx + 12x) + -12 = 28 Reorder the terms: -12 + 2bx + 12x = 28 Solving -12 + 2bx + 12x = 28 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2bx + 12 + 12x = 28 + 12 Reorder the terms: -12 + 12 + 2bx + 12x = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 2bx + 12x = 28 + 12 2bx + 12x = 28 + 12 Combine like terms: 28 + 12 = 40 2bx + 12x = 40 Add '-12x' to each side of the equation. 2bx + 12x + -12x = 40 + -12x Combine like terms: 12x + -12x = 0 2bx + 0 = 40 + -12x 2bx = 40 + -12x Divide each side by '2x'. b = 20x-1 + -6 Simplifying b = 20x-1 + -6 Reorder the terms: b = -6 + 20x-1
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