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Simplifying -21 + b = 6(b + 2) + 6b Reorder the terms: -21 + b = 6(2 + b) + 6b -21 + b = (2 * 6 + b * 6) + 6b -21 + b = (12 + 6b) + 6b Combine like terms: 6b + 6b = 12b -21 + b = 12 + 12b Solving -21 + b = 12 + 12b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-12b' to each side of the equation. -21 + b + -12b = 12 + 12b + -12b Combine like terms: b + -12b = -11b -21 + -11b = 12 + 12b + -12b Combine like terms: 12b + -12b = 0 -21 + -11b = 12 + 0 -21 + -11b = 12 Add '21' to each side of the equation. -21 + 21 + -11b = 12 + 21 Combine like terms: -21 + 21 = 0 0 + -11b = 12 + 21 -11b = 12 + 21 Combine like terms: 12 + 21 = 33 -11b = 33 Divide each side by '-11'. b = -3 Simplifying b = -3
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