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Simplifying 5(10 + -3b) = 105 + 8b + 4(11 + -4b) (10 * 5 + -3b * 5) = 105 + 8b + 4(11 + -4b) (50 + -15b) = 105 + 8b + 4(11 + -4b) 50 + -15b = 105 + 8b + (11 * 4 + -4b * 4) 50 + -15b = 105 + 8b + (44 + -16b) Reorder the terms: 50 + -15b = 105 + 44 + 8b + -16b Combine like terms: 105 + 44 = 149 50 + -15b = 149 + 8b + -16b Combine like terms: 8b + -16b = -8b 50 + -15b = 149 + -8b Solving 50 + -15b = 149 + -8b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8b' to each side of the equation. 50 + -15b + 8b = 149 + -8b + 8b Combine like terms: -15b + 8b = -7b 50 + -7b = 149 + -8b + 8b Combine like terms: -8b + 8b = 0 50 + -7b = 149 + 0 50 + -7b = 149 Add '-50' to each side of the equation. 50 + -50 + -7b = 149 + -50 Combine like terms: 50 + -50 = 0 0 + -7b = 149 + -50 -7b = 149 + -50 Combine like terms: 149 + -50 = 99 -7b = 99 Divide each side by '-7'. b = -14.14285714 Simplifying b = -14.14285714
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