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Simplifying 2.5b + -1 = 3.5b + 7 Reorder the terms: -1 + 2.5b = 3.5b + 7 Reorder the terms: -1 + 2.5b = 7 + 3.5b Solving -1 + 2.5b = 7 + 3.5b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3.5b' to each side of the equation. -1 + 2.5b + -3.5b = 7 + 3.5b + -3.5b Combine like terms: 2.5b + -3.5b = -1b -1 + -1b = 7 + 3.5b + -3.5b Combine like terms: 3.5b + -3.5b = 0.0 -1 + -1b = 7 + 0.0 -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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