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Simplifying -4(z + -7) = -3z + -5 Reorder the terms: -4(-7 + z) = -3z + -5 (-7 * -4 + z * -4) = -3z + -5 (28 + -4z) = -3z + -5 Reorder the terms: 28 + -4z = -5 + -3z Solving 28 + -4z = -5 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 28 + -4z + 3z = -5 + -3z + 3z Combine like terms: -4z + 3z = -1z 28 + -1z = -5 + -3z + 3z Combine like terms: -3z + 3z = 0 28 + -1z = -5 + 0 28 + -1z = -5 Add '-28' to each side of the equation. 28 + -28 + -1z = -5 + -28 Combine like terms: 28 + -28 = 0 0 + -1z = -5 + -28 -1z = -5 + -28 Combine like terms: -5 + -28 = -33 -1z = -33 Divide each side by '-1'. z = 33 Simplifying z = 33
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