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Simplifying -2(1 + 6b) + 6 = -3 + -1(1 + 4b) (1 * -2 + 6b * -2) + 6 = -3 + -1(1 + 4b) (-2 + -12b) + 6 = -3 + -1(1 + 4b) Reorder the terms: -2 + 6 + -12b = -3 + -1(1 + 4b) Combine like terms: -2 + 6 = 4 4 + -12b = -3 + -1(1 + 4b) 4 + -12b = -3 + (1 * -1 + 4b * -1) 4 + -12b = -3 + (-1 + -4b) Combine like terms: -3 + -1 = -4 4 + -12b = -4 + -4b Solving 4 + -12b = -4 + -4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '4b' to each side of the equation. 4 + -12b + 4b = -4 + -4b + 4b Combine like terms: -12b + 4b = -8b 4 + -8b = -4 + -4b + 4b Combine like terms: -4b + 4b = 0 4 + -8b = -4 + 0 4 + -8b = -4 Add '-4' to each side of the equation. 4 + -4 + -8b = -4 + -4 Combine like terms: 4 + -4 = 0 0 + -8b = -4 + -4 -8b = -4 + -4 Combine like terms: -4 + -4 = -8 -8b = -8 Divide each side by '-8'. b = 1 Simplifying b = 1
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