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Simplifying (3 + -8z)(-7) = 0 Reorder the terms for easier multiplication: -7(3 + -8z) = 0 (3 * -7 + -8z * -7) = 0 (-21 + 56z) = 0 Solving -21 + 56z = 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 + 56z = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 56z = 0 + 21 56z = 0 + 21 Combine like terms: 0 + 21 = 21 56z = 21 Divide each side by '56'. z = 0.375 Simplifying z = 0.375
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