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Simplifying 6 + -3(3b + -7) = 7 + b Reorder the terms: 6 + -3(-7 + 3b) = 7 + b 6 + (-7 * -3 + 3b * -3) = 7 + b 6 + (21 + -9b) = 7 + b Combine like terms: 6 + 21 = 27 27 + -9b = 7 + b Solving 27 + -9b = 7 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 27 + -9b + -1b = 7 + b + -1b Combine like terms: -9b + -1b = -10b 27 + -10b = 7 + b + -1b Combine like terms: b + -1b = 0 27 + -10b = 7 + 0 27 + -10b = 7 Add '-27' to each side of the equation. 27 + -27 + -10b = 7 + -27 Combine like terms: 27 + -27 = 0 0 + -10b = 7 + -27 -10b = 7 + -27 Combine like terms: 7 + -27 = -20 -10b = -20 Divide each side by '-10'. b = 2 Simplifying b = 2
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