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Simplifying 35 + 5b = 8(1 + 4b) 35 + 5b = (1 * 8 + 4b * 8) 35 + 5b = (8 + 32b) Solving 35 + 5b = 8 + 32b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-32b' to each side of the equation. 35 + 5b + -32b = 8 + 32b + -32b Combine like terms: 5b + -32b = -27b 35 + -27b = 8 + 32b + -32b Combine like terms: 32b + -32b = 0 35 + -27b = 8 + 0 35 + -27b = 8 Add '-35' to each side of the equation. 35 + -35 + -27b = 8 + -35 Combine like terms: 35 + -35 = 0 0 + -27b = 8 + -35 -27b = 8 + -35 Combine like terms: 8 + -35 = -27 -27b = -27 Divide each side by '-27'. b = 1 Simplifying b = 1
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