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Simplifying 4b + 84 = 6b + 10 Reorder the terms: 84 + 4b = 6b + 10 Reorder the terms: 84 + 4b = 10 + 6b Solving 84 + 4b = 10 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. 84 + 4b + -6b = 10 + 6b + -6b Combine like terms: 4b + -6b = -2b 84 + -2b = 10 + 6b + -6b Combine like terms: 6b + -6b = 0 84 + -2b = 10 + 0 84 + -2b = 10 Add '-84' to each side of the equation. 84 + -84 + -2b = 10 + -84 Combine like terms: 84 + -84 = 0 0 + -2b = 10 + -84 -2b = 10 + -84 Combine like terms: 10 + -84 = -74 -2b = -74 Divide each side by '-2'. b = 37 Simplifying b = 37
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