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Simplifying 5(10 + -3b) = 105 + -1b + 4(11 + -4b) (10 * 5 + -3b * 5) = 105 + -1b + 4(11 + -4b) (50 + -15b) = 105 + -1b + 4(11 + -4b) 50 + -15b = 105 + -1b + (11 * 4 + -4b * 4) 50 + -15b = 105 + -1b + (44 + -16b) Reorder the terms: 50 + -15b = 105 + 44 + -1b + -16b Combine like terms: 105 + 44 = 149 50 + -15b = 149 + -1b + -16b Combine like terms: -1b + -16b = -17b 50 + -15b = 149 + -17b Solving 50 + -15b = 149 + -17b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '17b' to each side of the equation. 50 + -15b + 17b = 149 + -17b + 17b Combine like terms: -15b + 17b = 2b 50 + 2b = 149 + -17b + 17b Combine like terms: -17b + 17b = 0 50 + 2b = 149 + 0 50 + 2b = 149 Add '-50' to each side of the equation. 50 + -50 + 2b = 149 + -50 Combine like terms: 50 + -50 = 0 0 + 2b = 149 + -50 2b = 149 + -50 Combine like terms: 149 + -50 = 99 2b = 99 Divide each side by '2'. b = 49.5 Simplifying b = 49.5
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