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Simplifying 5r + -1(3b + 8) = 16 Reorder the terms: 5r + -1(8 + 3b) = 16 5r + (8 * -1 + 3b * -1) = 16 5r + (-8 + -3b) = 16 Reorder the terms: -8 + -3b + 5r = 16 Solving -8 + -3b + 5r = 16 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -3b + 8 + 5r = 16 + 8 Reorder the terms: -8 + 8 + -3b + 5r = 16 + 8 Combine like terms: -8 + 8 = 0 0 + -3b + 5r = 16 + 8 -3b + 5r = 16 + 8 Combine like terms: 16 + 8 = 24 -3b + 5r = 24 Add '-5r' to each side of the equation. -3b + 5r + -5r = 24 + -5r Combine like terms: 5r + -5r = 0 -3b + 0 = 24 + -5r -3b = 24 + -5r Divide each side by '-3'. b = -8 + 1.666666667r Simplifying b = -8 + 1.666666667r
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