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Simplifying -7b + 20 = 6(b + 2) + -5 Reorder the terms: 20 + -7b = 6(b + 2) + -5 Reorder the terms: 20 + -7b = 6(2 + b) + -5 20 + -7b = (2 * 6 + b * 6) + -5 20 + -7b = (12 + 6b) + -5 Reorder the terms: 20 + -7b = 12 + -5 + 6b Combine like terms: 12 + -5 = 7 20 + -7b = 7 + 6b Solving 20 + -7b = 7 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 20 + -7b + -6b = 7 + 6b + -6b Combine like terms: -7b + -6b = -13b 20 + -13b = 7 + 6b + -6b Combine like terms: 6b + -6b = 0 20 + -13b = 7 + 0 20 + -13b = 7 Add '-20' to each side of the equation. 20 + -20 + -13b = 7 + -20 Combine like terms: 20 + -20 = 0 0 + -13b = 7 + -20 -13b = 7 + -20 Combine like terms: 7 + -20 = -13 -13b = -13 Divide each side by '-13'. b = 1 Simplifying b = 1
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