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Simplifying 3(b + -7) = 6b Reorder the terms: 3(-7 + b) = 6b (-7 * 3 + b * 3) = 6b (-21 + 3b) = 6b Solving -21 + 3b = 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. -21 + 3b + -6b = 6b + -6b Combine like terms: 3b + -6b = -3b -21 + -3b = 6b + -6b Combine like terms: 6b + -6b = 0 -21 + -3b = 0 Add '21' to each side of the equation. -21 + 21 + -3b = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -3b = 0 + 21 -3b = 0 + 21 Combine like terms: 0 + 21 = 21 -3b = 21 Divide each side by '-3'. b = -7 Simplifying b = -7
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