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Simplifying 8b + -2 = -7(4 + -2b) + 2 Reorder the terms: -2 + 8b = -7(4 + -2b) + 2 -2 + 8b = (4 * -7 + -2b * -7) + 2 -2 + 8b = (-28 + 14b) + 2 Reorder the terms: -2 + 8b = -28 + 2 + 14b Combine like terms: -28 + 2 = -26 -2 + 8b = -26 + 14b Solving -2 + 8b = -26 + 14b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-14b' to each side of the equation. -2 + 8b + -14b = -26 + 14b + -14b Combine like terms: 8b + -14b = -6b -2 + -6b = -26 + 14b + -14b Combine like terms: 14b + -14b = 0 -2 + -6b = -26 + 0 -2 + -6b = -26 Add '2' to each side of the equation. -2 + 2 + -6b = -26 + 2 Combine like terms: -2 + 2 = 0 0 + -6b = -26 + 2 -6b = -26 + 2 Combine like terms: -26 + 2 = -24 -6b = -24 Divide each side by '-6'. b = 4 Simplifying b = 4
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