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Simplifying 40b + -158 = 22(b + 10) Reorder the terms: -158 + 40b = 22(b + 10) Reorder the terms: -158 + 40b = 22(10 + b) -158 + 40b = (10 * 22 + b * 22) -158 + 40b = (220 + 22b) Solving -158 + 40b = 220 + 22b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-22b' to each side of the equation. -158 + 40b + -22b = 220 + 22b + -22b Combine like terms: 40b + -22b = 18b -158 + 18b = 220 + 22b + -22b Combine like terms: 22b + -22b = 0 -158 + 18b = 220 + 0 -158 + 18b = 220 Add '158' to each side of the equation. -158 + 158 + 18b = 220 + 158 Combine like terms: -158 + 158 = 0 0 + 18b = 220 + 158 18b = 220 + 158 Combine like terms: 220 + 158 = 378 18b = 378 Divide each side by '18'. b = 21 Simplifying b = 21
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