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Simplifying 10 + -4z + 4 = -1z + -10 Reorder the terms: 10 + 4 + -4z = -1z + -10 Combine like terms: 10 + 4 = 14 14 + -4z = -1z + -10 Reorder the terms: 14 + -4z = -10 + -1z Solving 14 + -4z = -10 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 14 + -4z + z = -10 + -1z + z Combine like terms: -4z + z = -3z 14 + -3z = -10 + -1z + z Combine like terms: -1z + z = 0 14 + -3z = -10 + 0 14 + -3z = -10 Add '-14' to each side of the equation. 14 + -14 + -3z = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -3z = -10 + -14 -3z = -10 + -14 Combine like terms: -10 + -14 = -24 -3z = -24 Divide each side by '-3'. z = 8 Simplifying z = 8
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