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Simplifying -91 = 7(b + -6) Reorder the terms: -91 = 7(-6 + b) -91 = (-6 * 7 + b * 7) -91 = (-42 + 7b) Solving -91 = -42 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. -91 + -7b = -42 + 7b + -7b Combine like terms: 7b + -7b = 0 -91 + -7b = -42 + 0 -91 + -7b = -42 Add '91' to each side of the equation. -91 + 91 + -7b = -42 + 91 Combine like terms: -91 + 91 = 0 0 + -7b = -42 + 91 -7b = -42 + 91 Combine like terms: -42 + 91 = 49 -7b = 49 Divide each side by '-7'. b = -7 Simplifying b = -7
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