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Simplifying -21 = 6b + -3(b + 6) Reorder the terms: -21 = 6b + -3(6 + b) -21 = 6b + (6 * -3 + b * -3) -21 = 6b + (-18 + -3b) Reorder the terms: -21 = -18 + 6b + -3b Combine like terms: 6b + -3b = 3b -21 = -18 + 3b Solving -21 = -18 + 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 = -18 + 3b + -3b Combine like terms: 3b + -3b = 0 -21 + -3b = -18 + 0 -21 + -3b = -18 Add '21' to each side of the equation. -21 + 21 + -3b = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -3b = -18 + 21 -3b = -18 + 21 Combine like terms: -18 + 21 = 3 -3b = 3 Divide each side by '-3'. b = -1 Simplifying b = -1
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