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Simplifying 42(7b + -1) = (b + -5) Reorder the terms: 42(-1 + 7b) = (b + -5) (-1 * 42 + 7b * 42) = (b + -5) (-42 + 294b) = (b + -5) Reorder the terms: -42 + 294b = (-5 + b) Remove parenthesis around (-5 + b) -42 + 294b = -5 + b Solving -42 + 294b = -5 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. -42 + 294b + -1b = -5 + b + -1b Combine like terms: 294b + -1b = 293b -42 + 293b = -5 + b + -1b Combine like terms: b + -1b = 0 -42 + 293b = -5 + 0 -42 + 293b = -5 Add '42' to each side of the equation. -42 + 42 + 293b = -5 + 42 Combine like terms: -42 + 42 = 0 0 + 293b = -5 + 42 293b = -5 + 42 Combine like terms: -5 + 42 = 37 293b = 37 Divide each side by '293'. b = 0.1262798635 Simplifying b = 0.1262798635
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