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Simplifying 2.5(3b + -4) = 3.5 + -6b Reorder the terms: 2.5(-4 + 3b) = 3.5 + -6b (-4 * 2.5 + 3b * 2.5) = 3.5 + -6b (-10 + 7.5b) = 3.5 + -6b Solving -10 + 7.5b = 3.5 + -6b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6b' to each side of the equation. -10 + 7.5b + 6b = 3.5 + -6b + 6b Combine like terms: 7.5b + 6b = 13.5b -10 + 13.5b = 3.5 + -6b + 6b Combine like terms: -6b + 6b = 0 -10 + 13.5b = 3.5 + 0 -10 + 13.5b = 3.5 Add '10' to each side of the equation. -10 + 10 + 13.5b = 3.5 + 10 Combine like terms: -10 + 10 = 0 0 + 13.5b = 3.5 + 10 13.5b = 3.5 + 10 Combine like terms: 3.5 + 10 = 13.5 13.5b = 13.5 Divide each side by '13.5'. b = 1 Simplifying b = 1
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