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Simplifying -3(z + -7) = -2z + -4 Reorder the terms: -3(-7 + z) = -2z + -4 (-7 * -3 + z * -3) = -2z + -4 (21 + -3z) = -2z + -4 Reorder the terms: 21 + -3z = -4 + -2z Solving 21 + -3z = -4 + -2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '2z' to each side of the equation. 21 + -3z + 2z = -4 + -2z + 2z Combine like terms: -3z + 2z = -1z 21 + -1z = -4 + -2z + 2z Combine like terms: -2z + 2z = 0 21 + -1z = -4 + 0 21 + -1z = -4 Add '-21' to each side of the equation. 21 + -21 + -1z = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -1z = -4 + -21 -1z = -4 + -21 Combine like terms: -4 + -21 = -25 -1z = -25 Divide each side by '-1'. z = 25 Simplifying z = 25
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