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Simplifying -11z + -50 = z + -1(-8) Reorder the terms: -50 + -11z = z + -1(-8) Multiply -1 * -8 -50 + -11z = z + 8 Reorder the terms: -50 + -11z = 8 + z Solving -50 + -11z = 8 + z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -50 + -11z + -1z = 8 + z + -1z Combine like terms: -11z + -1z = -12z -50 + -12z = 8 + z + -1z Combine like terms: z + -1z = 0 -50 + -12z = 8 + 0 -50 + -12z = 8 Add '50' to each side of the equation. -50 + 50 + -12z = 8 + 50 Combine like terms: -50 + 50 = 0 0 + -12z = 8 + 50 -12z = 8 + 50 Combine like terms: 8 + 50 = 58 -12z = 58 Divide each side by '-12'. z = -4.833333333 Simplifying z = -4.833333333
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