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Simplifying 2b + -4(5 + -2b) + (2 + -3b) + -1b = 0 2b + (5 * -4 + -2b * -4) + (2 + -3b) + -1b = 0 2b + (-20 + 8b) + (2 + -3b) + -1b = 0 Remove parenthesis around (2 + -3b) 2b + -20 + 8b + 2 + -3b + -1b = 0 Reorder the terms: -20 + 2 + 2b + 8b + -3b + -1b = 0 Combine like terms: -20 + 2 = -18 -18 + 2b + 8b + -3b + -1b = 0 Combine like terms: 2b + 8b = 10b -18 + 10b + -3b + -1b = 0 Combine like terms: 10b + -3b = 7b -18 + 7b + -1b = 0 Combine like terms: 7b + -1b = 6b -18 + 6b = 0 Solving -18 + 6b = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + 6b = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 6b = 0 + 18 6b = 0 + 18 Combine like terms: 0 + 18 = 18 6b = 18 Divide each side by '6'. b = 3 Simplifying b = 3
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