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Simplifying 3b + -8 = 8 + -2(1 + 8b) Reorder the terms: -8 + 3b = 8 + -2(1 + 8b) -8 + 3b = 8 + (1 * -2 + 8b * -2) -8 + 3b = 8 + (-2 + -16b) Combine like terms: 8 + -2 = 6 -8 + 3b = 6 + -16b Solving -8 + 3b = 6 + -16b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '16b' to each side of the equation. -8 + 3b + 16b = 6 + -16b + 16b Combine like terms: 3b + 16b = 19b -8 + 19b = 6 + -16b + 16b Combine like terms: -16b + 16b = 0 -8 + 19b = 6 + 0 -8 + 19b = 6 Add '8' to each side of the equation. -8 + 8 + 19b = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 19b = 6 + 8 19b = 6 + 8 Combine like terms: 6 + 8 = 14 19b = 14 Divide each side by '19'. b = 0.7368421053 Simplifying b = 0.7368421053
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