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Simplifying 4b + -7 = 5b + 1 Reorder the terms: -7 + 4b = 5b + 1 Reorder the terms: -7 + 4b = 1 + 5b Solving -7 + 4b = 1 + 5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-5b' to each side of the equation. -7 + 4b + -5b = 1 + 5b + -5b Combine like terms: 4b + -5b = -1b -7 + -1b = 1 + 5b + -5b Combine like terms: 5b + -5b = 0 -7 + -1b = 1 + 0 -7 + -1b = 1 Add '7' to each side of the equation. -7 + 7 + -1b = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -1b = 1 + 7 -1b = 1 + 7 Combine like terms: 1 + 7 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8
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