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Simplifying -1(6b + 3) + 7(b + 4) = 23 Reorder the terms: -1(3 + 6b) + 7(b + 4) = 23 (3 * -1 + 6b * -1) + 7(b + 4) = 23 (-3 + -6b) + 7(b + 4) = 23 Reorder the terms: -3 + -6b + 7(4 + b) = 23 -3 + -6b + (4 * 7 + b * 7) = 23 -3 + -6b + (28 + 7b) = 23 Reorder the terms: -3 + 28 + -6b + 7b = 23 Combine like terms: -3 + 28 = 25 25 + -6b + 7b = 23 Combine like terms: -6b + 7b = 1b 25 + 1b = 23 Solving 25 + 1b = 23 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + 1b = 23 + -25 Combine like terms: 25 + -25 = 0 0 + 1b = 23 + -25 1b = 23 + -25 Combine like terms: 23 + -25 = -2 1b = -2 Divide each side by '1'. b = -2 Simplifying b = -2
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