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Simplifying 3b + -6b + 10 = 5 + -4b + 7 Reorder the terms: 10 + 3b + -6b = 5 + -4b + 7 Combine like terms: 3b + -6b = -3b 10 + -3b = 5 + -4b + 7 Reorder the terms: 10 + -3b = 5 + 7 + -4b Combine like terms: 5 + 7 = 12 10 + -3b = 12 + -4b Solving 10 + -3b = 12 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 10 + -3b + 4b = 12 + -4b + 4b Combine like terms: -3b + 4b = 1b 10 + 1b = 12 + -4b + 4b Combine like terms: -4b + 4b = 0 10 + 1b = 12 + 0 10 + 1b = 12 Add '-10' to each side of the equation. 10 + -10 + 1b = 12 + -10 Combine like terms: 10 + -10 = 0 0 + 1b = 12 + -10 1b = 12 + -10 Combine like terms: 12 + -10 = 2 1b = 2 Divide each side by '1'. b = 2 Simplifying b = 2
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