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Simplifying 7 + -4(b + 4) + 5(2b + -4) = 5b + -8b Reorder the terms: 7 + -4(4 + b) + 5(2b + -4) = 5b + -8b 7 + (4 * -4 + b * -4) + 5(2b + -4) = 5b + -8b 7 + (-16 + -4b) + 5(2b + -4) = 5b + -8b Reorder the terms: 7 + -16 + -4b + 5(-4 + 2b) = 5b + -8b 7 + -16 + -4b + (-4 * 5 + 2b * 5) = 5b + -8b 7 + -16 + -4b + (-20 + 10b) = 5b + -8b Reorder the terms: 7 + -16 + -20 + -4b + 10b = 5b + -8b Combine like terms: 7 + -16 = -9 -9 + -20 + -4b + 10b = 5b + -8b Combine like terms: -9 + -20 = -29 -29 + -4b + 10b = 5b + -8b Combine like terms: -4b + 10b = 6b -29 + 6b = 5b + -8b Combine like terms: 5b + -8b = -3b -29 + 6b = -3b Solving -29 + 6b = -3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '3b' to each side of the equation. -29 + 6b + 3b = -3b + 3b Combine like terms: 6b + 3b = 9b -29 + 9b = -3b + 3b Combine like terms: -3b + 3b = 0 -29 + 9b = 0 Add '29' to each side of the equation. -29 + 29 + 9b = 0 + 29 Combine like terms: -29 + 29 = 0 0 + 9b = 0 + 29 9b = 0 + 29 Combine like terms: 0 + 29 = 29 9b = 29 Divide each side by '9'. b = 3.222222222 Simplifying b = 3.222222222
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