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Simplifying 8(b + -11) = 5(b + 4) + 8 Reorder the terms: 8(-11 + b) = 5(b + 4) + 8 (-11 * 8 + b * 8) = 5(b + 4) + 8 (-88 + 8b) = 5(b + 4) + 8 Reorder the terms: -88 + 8b = 5(4 + b) + 8 -88 + 8b = (4 * 5 + b * 5) + 8 -88 + 8b = (20 + 5b) + 8 Reorder the terms: -88 + 8b = 20 + 8 + 5b Combine like terms: 20 + 8 = 28 -88 + 8b = 28 + 5b Solving -88 + 8b = 28 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -88 + 8b + -5b = 28 + 5b + -5b Combine like terms: 8b + -5b = 3b -88 + 3b = 28 + 5b + -5b Combine like terms: 5b + -5b = 0 -88 + 3b = 28 + 0 -88 + 3b = 28 Add '88' to each side of the equation. -88 + 88 + 3b = 28 + 88 Combine like terms: -88 + 88 = 0 0 + 3b = 28 + 88 3b = 28 + 88 Combine like terms: 28 + 88 = 116 3b = 116 Divide each side by '3'. b = 38.66666667 Simplifying b = 38.66666667
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