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Simplifying 50 + z = -5(8z + -10) Reorder the terms: 50 + z = -5(-10 + 8z) 50 + z = (-10 * -5 + 8z * -5) 50 + z = (50 + -40z) Add '-50' to each side of the equation. 50 + -50 + z = 50 + -50 + -40z Combine like terms: 50 + -50 = 0 0 + z = 50 + -50 + -40z z = 50 + -50 + -40z Combine like terms: 50 + -50 = 0 z = 0 + -40z z = -40z Solving z = -40z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '40z' to each side of the equation. z + 40z = -40z + 40z Combine like terms: z + 40z = 41z 41z = -40z + 40z Combine like terms: -40z + 40z = 0 41z = 0 Divide each side by '41'. z = 0 Simplifying z = 0
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