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Simplifying 5(10 + -3b) = 105 + -8b + 49(11 + -4b) (10 * 5 + -3b * 5) = 105 + -8b + 49(11 + -4b) (50 + -15b) = 105 + -8b + 49(11 + -4b) 50 + -15b = 105 + -8b + (11 * 49 + -4b * 49) 50 + -15b = 105 + -8b + (539 + -196b) Reorder the terms: 50 + -15b = 105 + 539 + -8b + -196b Combine like terms: 105 + 539 = 644 50 + -15b = 644 + -8b + -196b Combine like terms: -8b + -196b = -204b 50 + -15b = 644 + -204b Solving 50 + -15b = 644 + -204b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '204b' to each side of the equation. 50 + -15b + 204b = 644 + -204b + 204b Combine like terms: -15b + 204b = 189b 50 + 189b = 644 + -204b + 204b Combine like terms: -204b + 204b = 0 50 + 189b = 644 + 0 50 + 189b = 644 Add '-50' to each side of the equation. 50 + -50 + 189b = 644 + -50 Combine like terms: 50 + -50 = 0 0 + 189b = 644 + -50 189b = 644 + -50 Combine like terms: 644 + -50 = 594 189b = 594 Divide each side by '189'. b = 3.142857143 Simplifying b = 3.142857143
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