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Simplifying 3b + 10 = 5b + -2 Reorder the terms: 10 + 3b = 5b + -2 Reorder the terms: 10 + 3b = -2 + 5b Solving 10 + 3b = -2 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. 10 + 3b + -5b = -2 + 5b + -5b Combine like terms: 3b + -5b = -2b 10 + -2b = -2 + 5b + -5b Combine like terms: 5b + -5b = 0 10 + -2b = -2 + 0 10 + -2b = -2 Add '-10' to each side of the equation. 10 + -10 + -2b = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = -2 + -10 -2b = -2 + -10 Combine like terms: -2 + -10 = -12 -2b = -12 Divide each side by '-2'. b = 6 Simplifying b = 6
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