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Simplifying 7b + -39 = 8(7b + 1) + 2 Reorder the terms: -39 + 7b = 8(7b + 1) + 2 Reorder the terms: -39 + 7b = 8(1 + 7b) + 2 -39 + 7b = (1 * 8 + 7b * 8) + 2 -39 + 7b = (8 + 56b) + 2 Reorder the terms: -39 + 7b = 8 + 2 + 56b Combine like terms: 8 + 2 = 10 -39 + 7b = 10 + 56b Solving -39 + 7b = 10 + 56b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-56b' to each side of the equation. -39 + 7b + -56b = 10 + 56b + -56b Combine like terms: 7b + -56b = -49b -39 + -49b = 10 + 56b + -56b Combine like terms: 56b + -56b = 0 -39 + -49b = 10 + 0 -39 + -49b = 10 Add '39' to each side of the equation. -39 + 39 + -49b = 10 + 39 Combine like terms: -39 + 39 = 0 0 + -49b = 10 + 39 -49b = 10 + 39 Combine like terms: 10 + 39 = 49 -49b = 49 Divide each side by '-49'. b = -1 Simplifying b = -1
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