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Simplifying 2 = 1.5(-5) + b Multiply 1.5 * -5 2 = -7.5 + b Solving 2 = -7.5 + b Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-1b' to each side of the equation. 2 + -1b = -7.5 + b + -1b Combine like terms: b + -1b = 0 2 + -1b = -7.5 + 0 2 + -1b = -7.5 Add '-2' to each side of the equation. 2 + -2 + -1b = -7.5 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = -7.5 + -2 -1b = -7.5 + -2 Combine like terms: -7.5 + -2 = -9.5 -1b = -9.5 Divide each side by '-1'. b = 9.5 Simplifying b = 9.5
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