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Simplifying -4(z + 7) = 7 + -3z Reorder the terms: -4(7 + z) = 7 + -3z (7 * -4 + z * -4) = 7 + -3z (-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 = -1z -28 + -1z = 7 + -3z + 3z Combine like terms: -3z + 3z = 0 -28 + -1z = 7 + 0 -28 + -1z = 7 Add '28' to each side of the equation. -28 + 28 + -1z = 7 + 28 Combine like terms: -28 + 28 = 0 0 + -1z = 7 + 28 -1z = 7 + 28 Combine like terms: 7 + 28 = 35 -1z = 35 Divide each side by '-1'. z = -35 Simplifying z = -35
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