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Simplifying 1 + -5b + 2b = -2 + -2(1 + -1b) Combine like terms: -5b + 2b = -3b 1 + -3b = -2 + -2(1 + -1b) 1 + -3b = -2 + (1 * -2 + -1b * -2) 1 + -3b = -2 + (-2 + 2b) Combine like terms: -2 + -2 = -4 1 + -3b = -4 + 2b Solving 1 + -3b = -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. 1 + -3b + -2b = -4 + 2b + -2b Combine like terms: -3b + -2b = -5b 1 + -5b = -4 + 2b + -2b Combine like terms: 2b + -2b = 0 1 + -5b = -4 + 0 1 + -5b = -4 Add '-1' to each side of the equation. 1 + -1 + -5b = -4 + -1 Combine like terms: 1 + -1 = 0 0 + -5b = -4 + -1 -5b = -4 + -1 Combine like terms: -4 + -1 = -5 -5b = -5 Divide each side by '-5'. b = 1 Simplifying b = 1
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