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Simplifying -5(z + -2) = 7 + -4z Reorder the terms: -5(-2 + z) = 7 + -4z (-2 * -5 + z * -5) = 7 + -4z (10 + -5z) = 7 + -4z Solving 10 + -5z = 7 + -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 + -5z + 4z = 7 + -4z + 4z Combine like terms: -5z + 4z = -1z 10 + -1z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 10 + -1z = 7 + 0 10 + -1z = 7 Add '-10' to each side of the equation. 10 + -10 + -1z = 7 + -10 Combine like terms: 10 + -10 = 0 0 + -1z = 7 + -10 -1z = 7 + -10 Combine like terms: 7 + -10 = -3 -1z = -3 Divide each side by '-1'. z = 3 Simplifying z = 3
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