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Simplifying 11b + -8 = 10 + 8(b + 11) Reorder the terms: -8 + 11b = 10 + 8(b + 11) Reorder the terms: -8 + 11b = 10 + 8(11 + b) -8 + 11b = 10 + (11 * 8 + b * 8) -8 + 11b = 10 + (88 + 8b) Combine like terms: 10 + 88 = 98 -8 + 11b = 98 + 8b Solving -8 + 11b = 98 + 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. -8 + 11b + -8b = 98 + 8b + -8b Combine like terms: 11b + -8b = 3b -8 + 3b = 98 + 8b + -8b Combine like terms: 8b + -8b = 0 -8 + 3b = 98 + 0 -8 + 3b = 98 Add '8' to each side of the equation. -8 + 8 + 3b = 98 + 8 Combine like terms: -8 + 8 = 0 0 + 3b = 98 + 8 3b = 98 + 8 Combine like terms: 98 + 8 = 106 3b = 106 Divide each side by '3'. b = 35.33333333 Simplifying b = 35.33333333
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