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Simplifying 54 + -1b = 100 + -4b + 18 + -6b Reorder the terms: 54 + -1b = 100 + 18 + -4b + -6b Combine like terms: 100 + 18 = 118 54 + -1b = 118 + -4b + -6b Combine like terms: -4b + -6b = -10b 54 + -1b = 118 + -10b Solving 54 + -1b = 118 + -10b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '10b' to each side of the equation. 54 + -1b + 10b = 118 + -10b + 10b Combine like terms: -1b + 10b = 9b 54 + 9b = 118 + -10b + 10b Combine like terms: -10b + 10b = 0 54 + 9b = 118 + 0 54 + 9b = 118 Add '-54' to each side of the equation. 54 + -54 + 9b = 118 + -54 Combine like terms: 54 + -54 = 0 0 + 9b = 118 + -54 9b = 118 + -54 Combine like terms: 118 + -54 = 64 9b = 64 Divide each side by '9'. b = 7.111111111 Simplifying b = 7.111111111
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