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Simplifying -39 + -6b = 3b + 6(4b + -1) Reorder the terms: -39 + -6b = 3b + 6(-1 + 4b) -39 + -6b = 3b + (-1 * 6 + 4b * 6) -39 + -6b = 3b + (-6 + 24b) Reorder the terms: -39 + -6b = -6 + 3b + 24b Combine like terms: 3b + 24b = 27b -39 + -6b = -6 + 27b Solving -39 + -6b = -6 + 27b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-27b' to each side of the equation. -39 + -6b + -27b = -6 + 27b + -27b Combine like terms: -6b + -27b = -33b -39 + -33b = -6 + 27b + -27b Combine like terms: 27b + -27b = 0 -39 + -33b = -6 + 0 -39 + -33b = -6 Add '39' to each side of the equation. -39 + 39 + -33b = -6 + 39 Combine like terms: -39 + 39 = 0 0 + -33b = -6 + 39 -33b = -6 + 39 Combine like terms: -6 + 39 = 33 -33b = 33 Divide each side by '-33'. b = -1 Simplifying b = -1
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