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Simplifying -146 = 8 + 7(3b + -1) Reorder the terms: -146 = 8 + 7(-1 + 3b) -146 = 8 + (-1 * 7 + 3b * 7) -146 = 8 + (-7 + 21b) Combine like terms: 8 + -7 = 1 -146 = 1 + 21b Solving -146 = 1 + 21b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-21b' to each side of the equation. -146 + -21b = 1 + 21b + -21b Combine like terms: 21b + -21b = 0 -146 + -21b = 1 + 0 -146 + -21b = 1 Add '146' to each side of the equation. -146 + 146 + -21b = 1 + 146 Combine like terms: -146 + 146 = 0 0 + -21b = 1 + 146 -21b = 1 + 146 Combine like terms: 1 + 146 = 147 -21b = 147 Divide each side by '-21'. b = -7 Simplifying b = -7
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