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Simplifying 2(b + -1.5) = -7.5 + -1b Reorder the terms: 2(-1.5 + b) = -7.5 + -1b (-1.5 * 2 + b * 2) = -7.5 + -1b (-3 + 2b) = -7.5 + -1b Solving -3 + 2b = -7.5 + -1b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add 'b' to each side of the equation. -3 + 2b + b = -7.5 + -1b + b Combine like terms: 2b + b = 3b -3 + 3b = -7.5 + -1b + b Combine like terms: -1b + b = 0 -3 + 3b = -7.5 + 0 -3 + 3b = -7.5 Add '3' to each side of the equation. -3 + 3 + 3b = -7.5 + 3 Combine like terms: -3 + 3 = 0 0 + 3b = -7.5 + 3 3b = -7.5 + 3 Combine like terms: -7.5 + 3 = -4.5 3b = -4.5 Divide each side by '3'. b = -1.5 Simplifying b = -1.5
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