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Simplifying 54 + -3b = 100 + -4b + 18 + -6b Reorder the terms: 54 + -3b = 100 + 18 + -4b + -6b Combine like terms: 100 + 18 = 118 54 + -3b = 118 + -4b + -6b Combine like terms: -4b + -6b = -10b 54 + -3b = 118 + -10b Solving 54 + -3b = 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 + -3b + 10b = 118 + -10b + 10b Combine like terms: -3b + 10b = 7b 54 + 7b = 118 + -10b + 10b Combine like terms: -10b + 10b = 0 54 + 7b = 118 + 0 54 + 7b = 118 Add '-54' to each side of the equation. 54 + -54 + 7b = 118 + -54 Combine like terms: 54 + -54 = 0 0 + 7b = 118 + -54 7b = 118 + -54 Combine like terms: 118 + -54 = 64 7b = 64 Divide each side by '7'. b = 9.142857143 Simplifying b = 9.142857143
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