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Simplifying 8b + 4(-7b + 5) = 7 + -7b Reorder the terms: 8b + 4(5 + -7b) = 7 + -7b 8b + (5 * 4 + -7b * 4) = 7 + -7b 8b + (20 + -28b) = 7 + -7b Reorder the terms: 20 + 8b + -28b = 7 + -7b Combine like terms: 8b + -28b = -20b 20 + -20b = 7 + -7b Solving 20 + -20b = 7 + -7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '7b' to each side of the equation. 20 + -20b + 7b = 7 + -7b + 7b Combine like terms: -20b + 7b = -13b 20 + -13b = 7 + -7b + 7b Combine like terms: -7b + 7b = 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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