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Simplifying -2(5b + 1) + 4b = -2 + 6(6 + b) Reorder the terms: -2(1 + 5b) + 4b = -2 + 6(6 + b) (1 * -2 + 5b * -2) + 4b = -2 + 6(6 + b) (-2 + -10b) + 4b = -2 + 6(6 + b) Combine like terms: -10b + 4b = -6b -2 + -6b = -2 + 6(6 + b) -2 + -6b = -2 + (6 * 6 + b * 6) -2 + -6b = -2 + (36 + 6b) Combine like terms: -2 + 36 = 34 -2 + -6b = 34 + 6b Solving -2 + -6b = 34 + 6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-6b' to each side of the equation. -2 + -6b + -6b = 34 + 6b + -6b Combine like terms: -6b + -6b = -12b -2 + -12b = 34 + 6b + -6b Combine like terms: 6b + -6b = 0 -2 + -12b = 34 + 0 -2 + -12b = 34 Add '2' to each side of the equation. -2 + 2 + -12b = 34 + 2 Combine like terms: -2 + 2 = 0 0 + -12b = 34 + 2 -12b = 34 + 2 Combine like terms: 34 + 2 = 36 -12b = 36 Divide each side by '-12'. b = -3 Simplifying b = -3
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