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Simplifying -7(z + 4) = 3 + -6z Reorder the terms: -7(4 + z) = 3 + -6z (4 * -7 + z * -7) = 3 + -6z (-28 + -7z) = 3 + -6z Solving -28 + -7z = 3 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. -28 + -7z + 6z = 3 + -6z + 6z Combine like terms: -7z + 6z = -1z -28 + -1z = 3 + -6z + 6z Combine like terms: -6z + 6z = 0 -28 + -1z = 3 + 0 -28 + -1z = 3 Add '28' to each side of the equation. -28 + 28 + -1z = 3 + 28 Combine like terms: -28 + 28 = 0 0 + -1z = 3 + 28 -1z = 3 + 28 Combine like terms: 3 + 28 = 31 -1z = 31 Divide each side by '-1'. z = -31 Simplifying z = -31
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