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Simplifying -21 = 5 + 6(b + 7) Reorder the terms: -21 = 5 + 6(7 + b) -21 = 5 + (7 * 6 + b * 6) -21 = 5 + (42 + 6b) Combine like terms: 5 + 42 = 47 -21 = 47 + 6b Solving -21 = 47 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -21 + -6b = 47 + 6b + -6b Combine like terms: 6b + -6b = 0 -21 + -6b = 47 + 0 -21 + -6b = 47 Add '21' to each side of the equation. -21 + 21 + -6b = 47 + 21 Combine like terms: -21 + 21 = 0 0 + -6b = 47 + 21 -6b = 47 + 21 Combine like terms: 47 + 21 = 68 -6b = 68 Divide each side by '-6'. b = -11.33333333 Simplifying b = -11.33333333
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