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Simplifying -4(b + 4) + 2b + 6 = 5b + 6 Reorder the terms: -4(4 + b) + 2b + 6 = 5b + 6 (4 * -4 + b * -4) + 2b + 6 = 5b + 6 (-16 + -4b) + 2b + 6 = 5b + 6 Reorder the terms: -16 + 6 + -4b + 2b = 5b + 6 Combine like terms: -16 + 6 = -10 -10 + -4b + 2b = 5b + 6 Combine like terms: -4b + 2b = -2b -10 + -2b = 5b + 6 Reorder the terms: -10 + -2b = 6 + 5b Solving -10 + -2b = 6 + 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. -10 + -2b + -5b = 6 + 5b + -5b Combine like terms: -2b + -5b = -7b -10 + -7b = 6 + 5b + -5b Combine like terms: 5b + -5b = 0 -10 + -7b = 6 + 0 -10 + -7b = 6 Add '10' to each side of the equation. -10 + 10 + -7b = 6 + 10 Combine like terms: -10 + 10 = 0 0 + -7b = 6 + 10 -7b = 6 + 10 Combine like terms: 6 + 10 = 16 -7b = 16 Divide each side by '-7'. b = -2.285714286 Simplifying b = -2.285714286
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