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Simplifying 3b + -2(b + -8) = 4 + 2b Reorder the terms: 3b + -2(-8 + b) = 4 + 2b 3b + (-8 * -2 + b * -2) = 4 + 2b 3b + (16 + -2b) = 4 + 2b Reorder the terms: 16 + 3b + -2b = 4 + 2b Combine like terms: 3b + -2b = 1b 16 + 1b = 4 + 2b Solving 16 + 1b = 4 + 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. 16 + 1b + -2b = 4 + 2b + -2b Combine like terms: 1b + -2b = -1b 16 + -1b = 4 + 2b + -2b Combine like terms: 2b + -2b = 0 16 + -1b = 4 + 0 16 + -1b = 4 Add '-16' to each side of the equation. 16 + -16 + -1b = 4 + -16 Combine like terms: 16 + -16 = 0 0 + -1b = 4 + -16 -1b = 4 + -16 Combine like terms: 4 + -16 = -12 -1b = -12 Divide each side by '-1'. b = 12 Simplifying b = 12
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