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Simplifying z + 10 = 4z + -50 Reorder the terms: 10 + z = 4z + -50 Reorder the terms: 10 + z = -50 + 4z Solving 10 + z = -50 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. 10 + z + -4z = -50 + 4z + -4z Combine like terms: z + -4z = -3z 10 + -3z = -50 + 4z + -4z Combine like terms: 4z + -4z = 0 10 + -3z = -50 + 0 10 + -3z = -50 Add '-10' to each side of the equation. 10 + -10 + -3z = -50 + -10 Combine like terms: 10 + -10 = 0 0 + -3z = -50 + -10 -3z = -50 + -10 Combine like terms: -50 + -10 = -60 -3z = -60 Divide each side by '-3'. z = 20 Simplifying z = 20
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