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Simplifying -1(7 + -5b) = 17b + 41 (7 * -1 + -5b * -1) = 17b + 41 (-7 + 5b) = 17b + 41 Reorder the terms: -7 + 5b = 41 + 17b Solving -7 + 5b = 41 + 17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-17b' to each side of the equation. -7 + 5b + -17b = 41 + 17b + -17b Combine like terms: 5b + -17b = -12b -7 + -12b = 41 + 17b + -17b Combine like terms: 17b + -17b = 0 -7 + -12b = 41 + 0 -7 + -12b = 41 Add '7' to each side of the equation. -7 + 7 + -12b = 41 + 7 Combine like terms: -7 + 7 = 0 0 + -12b = 41 + 7 -12b = 41 + 7 Combine like terms: 41 + 7 = 48 -12b = 48 Divide each side by '-12'. b = -4 Simplifying b = -4
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