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Simplifying -5(3 + -1z) = -1 + (b + 2) (3 * -5 + -1z * -5) = -1 + (b + 2) (-15 + 5z) = -1 + (b + 2) Reorder the terms: -15 + 5z = -1 + (2 + b) Remove parenthesis around (2 + b) -15 + 5z = -1 + 2 + b Combine like terms: -1 + 2 = 1 -15 + 5z = 1 + b Solving -15 + 5z = 1 + b Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 5z = 1 + 15 + b Combine like terms: -15 + 15 = 0 0 + 5z = 1 + 15 + b 5z = 1 + 15 + b Combine like terms: 1 + 15 = 16 5z = 16 + b Divide each side by '5'. z = 3.2 + 0.2b Simplifying z = 3.2 + 0.2b
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