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Simplifying 27 = -3 + 6(b + 4) Reorder the terms: 27 = -3 + 6(4 + b) 27 = -3 + (4 * 6 + b * 6) 27 = -3 + (24 + 6b) Combine like terms: -3 + 24 = 21 27 = 21 + 6b Solving 27 = 21 + 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. 27 + -6b = 21 + 6b + -6b Combine like terms: 6b + -6b = 0 27 + -6b = 21 + 0 27 + -6b = 21 Add '-27' to each side of the equation. 27 + -27 + -6b = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -6b = 21 + -27 -6b = 21 + -27 Combine like terms: 21 + -27 = -6 -6b = -6 Divide each side by '-6'. b = 1 Simplifying b = 1
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