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Simplifying 8b + -8(-4b + 20) = 20 + 18 + 18b Reorder the terms: 8b + -8(20 + -4b) = 20 + 18 + 18b 8b + (20 * -8 + -4b * -8) = 20 + 18 + 18b 8b + (-160 + 32b) = 20 + 18 + 18b Reorder the terms: -160 + 8b + 32b = 20 + 18 + 18b Combine like terms: 8b + 32b = 40b -160 + 40b = 20 + 18 + 18b Combine like terms: 20 + 18 = 38 -160 + 40b = 38 + 18b Solving -160 + 40b = 38 + 18b 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. -160 + 40b + -18b = 38 + 18b + -18b Combine like terms: 40b + -18b = 22b -160 + 22b = 38 + 18b + -18b Combine like terms: 18b + -18b = 0 -160 + 22b = 38 + 0 -160 + 22b = 38 Add '160' to each side of the equation. -160 + 160 + 22b = 38 + 160 Combine like terms: -160 + 160 = 0 0 + 22b = 38 + 160 22b = 38 + 160 Combine like terms: 38 + 160 = 198 22b = 198 Divide each side by '22'. b = 9 Simplifying b = 9
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