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Simplifying 3 + -5b + 2b = -2 + -1(1 + -1b) Combine like terms: -5b + 2b = -3b 3 + -3b = -2 + -1(1 + -1b) 3 + -3b = -2 + (1 * -1 + -1b * -1) 3 + -3b = -2 + (-1 + 1b) Combine like terms: -2 + -1 = -3 3 + -3b = -3 + 1b Solving 3 + -3b = -3 + 1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 3 + -3b + -1b = -3 + 1b + -1b Combine like terms: -3b + -1b = -4b 3 + -4b = -3 + 1b + -1b Combine like terms: 1b + -1b = 0 3 + -4b = -3 + 0 3 + -4b = -3 Add '-3' to each side of the equation. 3 + -3 + -4b = -3 + -3 Combine like terms: 3 + -3 = 0 0 + -4b = -3 + -3 -4b = -3 + -3 Combine like terms: -3 + -3 = -6 -4b = -6 Divide each side by '-4'. b = 1.5 Simplifying b = 1.5
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