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Simplifying 36 + -7b = 4 + -6(-1b + -1) Reorder the terms: 36 + -7b = 4 + -6(-1 + -1b) 36 + -7b = 4 + (-1 * -6 + -1b * -6) 36 + -7b = 4 + (6 + 6b) Combine like terms: 4 + 6 = 10 36 + -7b = 10 + 6b Solving 36 + -7b = 10 + 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. 36 + -7b + -6b = 10 + 6b + -6b Combine like terms: -7b + -6b = -13b 36 + -13b = 10 + 6b + -6b Combine like terms: 6b + -6b = 0 36 + -13b = 10 + 0 36 + -13b = 10 Add '-36' to each side of the equation. 36 + -36 + -13b = 10 + -36 Combine like terms: 36 + -36 = 0 0 + -13b = 10 + -36 -13b = 10 + -36 Combine like terms: 10 + -36 = -26 -13b = -26 Divide each side by '-13'. b = 2 Simplifying b = 2
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