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Simplifying 8b + 1 + -30 = 6b + -1 Reorder the terms: 1 + -30 + 8b = 6b + -1 Combine like terms: 1 + -30 = -29 -29 + 8b = 6b + -1 Reorder the terms: -29 + 8b = -1 + 6b Solving -29 + 8b = -1 + 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. -29 + 8b + -6b = -1 + 6b + -6b Combine like terms: 8b + -6b = 2b -29 + 2b = -1 + 6b + -6b Combine like terms: 6b + -6b = 0 -29 + 2b = -1 + 0 -29 + 2b = -1 Add '29' to each side of the equation. -29 + 29 + 2b = -1 + 29 Combine like terms: -29 + 29 = 0 0 + 2b = -1 + 29 2b = -1 + 29 Combine like terms: -1 + 29 = 28 2b = 28 Divide each side by '2'. b = 14 Simplifying b = 14
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