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