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