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Simplifying 42 = 18b + 4(t + 5) Reorder the terms: 42 = 18b + 4(5 + t) 42 = 18b + (5 * 4 + t * 4) 42 = 18b + (20 + 4t) Reorder the terms: 42 = 20 + 18b + 4t Solving 42 = 20 + 18b + 4t Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-18b' to each side of the equation. 42 + -18b = 20 + 18b + -18b + 4t Combine like terms: 18b + -18b = 0 42 + -18b = 20 + 0 + 4t 42 + -18b = 20 + 4t Add '-42' to each side of the equation. 42 + -42 + -18b = 20 + -42 + 4t Combine like terms: 42 + -42 = 0 0 + -18b = 20 + -42 + 4t -18b = 20 + -42 + 4t Combine like terms: 20 + -42 = -22 -18b = -22 + 4t Divide each side by '-18'. b = 1.222222222 + -0.2222222222t Simplifying b = 1.222222222 + -0.2222222222t
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