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Simplifying 3(4 + -1b) = -6b + 21 (4 * 3 + -1b * 3) = -6b + 21 (12 + -3b) = -6b + 21 Reorder the terms: 12 + -3b = 21 + -6b Solving 12 + -3b = 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. 12 + -3b + 6b = 21 + -6b + 6b Combine like terms: -3b + 6b = 3b 12 + 3b = 21 + -6b + 6b Combine like terms: -6b + 6b = 0 12 + 3b = 21 + 0 12 + 3b = 21 Add '-12' to each side of the equation. 12 + -12 + 3b = 21 + -12 Combine like terms: 12 + -12 = 0 0 + 3b = 21 + -12 3b = 21 + -12 Combine like terms: 21 + -12 = 9 3b = 9 Divide each side by '3'. b = 3 Simplifying b = 3
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