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Simplifying -8 + -7(4b + -4) = -34 + -1b Reorder the terms: -8 + -7(-4 + 4b) = -34 + -1b -8 + (-4 * -7 + 4b * -7) = -34 + -1b -8 + (28 + -28b) = -34 + -1b Combine like terms: -8 + 28 = 20 20 + -28b = -34 + -1b Solving 20 + -28b = -34 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 20 + -28b + b = -34 + -1b + b Combine like terms: -28b + b = -27b 20 + -27b = -34 + -1b + b Combine like terms: -1b + b = 0 20 + -27b = -34 + 0 20 + -27b = -34 Add '-20' to each side of the equation. 20 + -20 + -27b = -34 + -20 Combine like terms: 20 + -20 = 0 0 + -27b = -34 + -20 -27b = -34 + -20 Combine like terms: -34 + -20 = -54 -27b = -54 Divide each side by '-27'. b = 2 Simplifying b = 2
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