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Simplifying 0.5 = 4(-1) + b Multiply 4 * -1 0.5 = -4 + b Solving 0.5 = -4 + 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. 0.5 + -1b = -4 + b + -1b Combine like terms: b + -1b = 0 0.5 + -1b = -4 + 0 0.5 + -1b = -4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -1b = -4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -1b = -4 + -0.5 -1b = -4 + -0.5 Combine like terms: -4 + -0.5 = -4.5 -1b = -4.5 Divide each side by '-1'. b = 4.5 Simplifying b = 4.5
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