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Simplifying 10 + -5z = -2 + -1z Solving 10 + -5z = -2 + -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. 10 + -5z + z = -2 + -1z + z Combine like terms: -5z + z = -4z 10 + -4z = -2 + -1z + z Combine like terms: -1z + z = 0 10 + -4z = -2 + 0 10 + -4z = -2 Add '-10' to each side of the equation. 10 + -10 + -4z = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = -2 + -10 -4z = -2 + -10 Combine like terms: -2 + -10 = -12 -4z = -12 Divide each side by '-4'. z = 3 Simplifying z = 3
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