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Simplifying -5(z + -2) = -1z + 22 Reorder the terms: -5(-2 + z) = -1z + 22 (-2 * -5 + z * -5) = -1z + 22 (10 + -5z) = -1z + 22 Reorder the terms: 10 + -5z = 22 + -1z Solving 10 + -5z = 22 + -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 = 22 + -1z + z Combine like terms: -5z + z = -4z 10 + -4z = 22 + -1z + z Combine like terms: -1z + z = 0 10 + -4z = 22 + 0 10 + -4z = 22 Add '-10' to each side of the equation. 10 + -10 + -4z = 22 + -10 Combine like terms: 10 + -10 = 0 0 + -4z = 22 + -10 -4z = 22 + -10 Combine like terms: 22 + -10 = 12 -4z = 12 Divide each side by '-4'. z = -3 Simplifying z = -3
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