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Simplifying 1 + 6b = -7 + 7b Solving 1 + 6b = -7 + 7b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-7b' to each side of the equation. 1 + 6b + -7b = -7 + 7b + -7b Combine like terms: 6b + -7b = -1b 1 + -1b = -7 + 7b + -7b Combine like terms: 7b + -7b = 0 1 + -1b = -7 + 0 1 + -1b = -7 Add '-1' to each side of the equation. 1 + -1 + -1b = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = -7 + -1 -1b = -7 + -1 Combine like terms: -7 + -1 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8
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