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Simplifying 3b + d + 10 = 5b + d Reorder the terms: 10 + 3b + d = 5b + d Add '-1d' to each side of the equation. 10 + 3b + d + -1d = 5b + d + -1d Combine like terms: d + -1d = 0 10 + 3b + 0 = 5b + d + -1d 10 + 3b = 5b + d + -1d Combine like terms: d + -1d = 0 10 + 3b = 5b + 0 10 + 3b = 5b Solving 10 + 3b = 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 = 5b + -5b Combine like terms: 3b + -5b = -2b 10 + -2b = 5b + -5b Combine like terms: 5b + -5b = 0 10 + -2b = 0 Add '-10' to each side of the equation. 10 + -10 + -2b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -2b = 0 + -10 -2b = 0 + -10 Combine like terms: 0 + -10 = -10 -2b = -10 Divide each side by '-2'. b = 5 Simplifying b = 5
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