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Simplifying 3b + -2(b + -7) = 2 + 2b Reorder the terms: 3b + -2(-7 + b) = 2 + 2b 3b + (-7 * -2 + b * -2) = 2 + 2b 3b + (14 + -2b) = 2 + 2b Reorder the terms: 14 + 3b + -2b = 2 + 2b Combine like terms: 3b + -2b = 1b 14 + 1b = 2 + 2b Solving 14 + 1b = 2 + 2b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-2b' to each side of the equation. 14 + 1b + -2b = 2 + 2b + -2b Combine like terms: 1b + -2b = -1b 14 + -1b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 14 + -1b = 2 + 0 14 + -1b = 2 Add '-14' to each side of the equation. 14 + -14 + -1b = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 2 + -14 -1b = 2 + -14 Combine like terms: 2 + -14 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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