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Simplifying -21 = 9 + 3(b + -6) Reorder the terms: -21 = 9 + 3(-6 + b) -21 = 9 + (-6 * 3 + b * 3) -21 = 9 + (-18 + 3b) Combine like terms: 9 + -18 = -9 -21 = -9 + 3b Solving -21 = -9 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -21 + -3b = -9 + 3b + -3b Combine like terms: 3b + -3b = 0 -21 + -3b = -9 + 0 -21 + -3b = -9 Add '21' to each side of the equation. -21 + 21 + -3b = -9 + 21 Combine like terms: -21 + 21 = 0 0 + -3b = -9 + 21 -3b = -9 + 21 Combine like terms: -9 + 21 = 12 -3b = 12 Divide each side by '-3'. b = -4 Simplifying b = -4
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