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Simplifying -12 + 7b = 1 + -6(7 + -6b) -12 + 7b = 1 + (7 * -6 + -6b * -6) -12 + 7b = 1 + (-42 + 36b) Combine like terms: 1 + -42 = -41 -12 + 7b = -41 + 36b Solving -12 + 7b = -41 + 36b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-36b' to each side of the equation. -12 + 7b + -36b = -41 + 36b + -36b Combine like terms: 7b + -36b = -29b -12 + -29b = -41 + 36b + -36b Combine like terms: 36b + -36b = 0 -12 + -29b = -41 + 0 -12 + -29b = -41 Add '12' to each side of the equation. -12 + 12 + -29b = -41 + 12 Combine like terms: -12 + 12 = 0 0 + -29b = -41 + 12 -29b = -41 + 12 Combine like terms: -41 + 12 = -29 -29b = -29 Divide each side by '-29'. b = 1 Simplifying b = 1
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