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Simplifying 2.5 = 3(-1.5) + b Multiply 3 * -1.5 2.5 = -4.5 + b Solving 2.5 = -4.5 + 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. 2.5 + -1b = -4.5 + b + -1b Combine like terms: b + -1b = 0 2.5 + -1b = -4.5 + 0 2.5 + -1b = -4.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -1b = -4.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -1b = -4.5 + -2.5 -1b = -4.5 + -2.5 Combine like terms: -4.5 + -2.5 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7
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