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Simplifying -4(z + 7) = 3z + -7 Reorder the terms: -4(7 + z) = 3z + -7 (7 * -4 + z * -4) = 3z + -7 (-28 + -4z) = 3z + -7 Reorder the terms: -28 + -4z = -7 + 3z Solving -28 + -4z = -7 + 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 = -7 + 3z + -3z Combine like terms: -4z + -3z = -7z -28 + -7z = -7 + 3z + -3z Combine like terms: 3z + -3z = 0 -28 + -7z = -7 + 0 -28 + -7z = -7 Add '28' to each side of the equation. -28 + 28 + -7z = -7 + 28 Combine like terms: -28 + 28 = 0 0 + -7z = -7 + 28 -7z = -7 + 28 Combine like terms: -7 + 28 = 21 -7z = 21 Divide each side by '-7'. z = -3 Simplifying z = -3
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