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Simplifying -1(b + -7) = -5b + 47 Reorder the terms: -1(-7 + b) = -5b + 47 (-7 * -1 + b * -1) = -5b + 47 (7 + -1b) = -5b + 47 Reorder the terms: 7 + -1b = 47 + -5b Solving 7 + -1b = 47 + -5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '5b' to each side of the equation. 7 + -1b + 5b = 47 + -5b + 5b Combine like terms: -1b + 5b = 4b 7 + 4b = 47 + -5b + 5b Combine like terms: -5b + 5b = 0 7 + 4b = 47 + 0 7 + 4b = 47 Add '-7' to each side of the equation. 7 + -7 + 4b = 47 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 47 + -7 4b = 47 + -7 Combine like terms: 47 + -7 = 40 4b = 40 Divide each side by '4'. b = 10 Simplifying b = 10
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