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Simplifying 5b + -4(b + -8) = 2 + 2b Reorder the terms: 5b + -4(-8 + b) = 2 + 2b 5b + (-8 * -4 + b * -4) = 2 + 2b 5b + (32 + -4b) = 2 + 2b Reorder the terms: 32 + 5b + -4b = 2 + 2b Combine like terms: 5b + -4b = 1b 32 + 1b = 2 + 2b Solving 32 + 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. 32 + 1b + -2b = 2 + 2b + -2b Combine like terms: 1b + -2b = -1b 32 + -1b = 2 + 2b + -2b Combine like terms: 2b + -2b = 0 32 + -1b = 2 + 0 32 + -1b = 2 Add '-32' to each side of the equation. 32 + -32 + -1b = 2 + -32 Combine like terms: 32 + -32 = 0 0 + -1b = 2 + -32 -1b = 2 + -32 Combine like terms: 2 + -32 = -30 -1b = -30 Divide each side by '-1'. b = 30 Simplifying b = 30
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