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Simplifying 3(1.66 + -0.33b) = 5 + -1b (1.66 * 3 + -0.33b * 3) = 5 + -1b (4.98 + -0.99b) = 5 + -1b Solving 4.98 + -0.99b = 5 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. 4.98 + -0.99b + b = 5 + -1b + b Combine like terms: -0.99b + b = 0.01b 4.98 + 0.01b = 5 + -1b + b Combine like terms: -1b + b = 0 4.98 + 0.01b = 5 + 0 4.98 + 0.01b = 5 Add '-4.98' to each side of the equation. 4.98 + -4.98 + 0.01b = 5 + -4.98 Combine like terms: 4.98 + -4.98 = 0.00 0.00 + 0.01b = 5 + -4.98 0.01b = 5 + -4.98 Combine like terms: 5 + -4.98 = 0.02 0.01b = 0.02 Divide each side by '0.01'. b = 2 Simplifying b = 2
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