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Simplifying 4(4b + 8) = 3b + 23 Reorder the terms: 4(8 + 4b) = 3b + 23 (8 * 4 + 4b * 4) = 3b + 23 (32 + 16b) = 3b + 23 Reorder the terms: 32 + 16b = 23 + 3b Solving 32 + 16b = 23 + 3b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. 32 + 16b + -3b = 23 + 3b + -3b Combine like terms: 16b + -3b = 13b 32 + 13b = 23 + 3b + -3b Combine like terms: 3b + -3b = 0 32 + 13b = 23 + 0 32 + 13b = 23 Add '-32' to each side of the equation. 32 + -32 + 13b = 23 + -32 Combine like terms: 32 + -32 = 0 0 + 13b = 23 + -32 13b = 23 + -32 Combine like terms: 23 + -32 = -9 13b = -9 Divide each side by '13'. b = -0.6923076923 Simplifying b = -0.6923076923
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