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Simplifying 3b + -1 = 4b + -7 Reorder the terms: -1 + 3b = 4b + -7 Reorder the terms: -1 + 3b = -7 + 4b Solving -1 + 3b = -7 + 4b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-4b' to each side of the equation. -1 + 3b + -4b = -7 + 4b + -4b Combine like terms: 3b + -4b = -1b -1 + -1b = -7 + 4b + -4b Combine like terms: 4b + -4b = 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 = -6 -1b = -6 Divide each side by '-1'. b = 6 Simplifying b = 6
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