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Simplifying -84 = -7(6 + 3z) -84 = (6 * -7 + 3z * -7) -84 = (-42 + -21z) Solving -84 = -42 + -21z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21z' to each side of the equation. -84 + 21z = -42 + -21z + 21z Combine like terms: -21z + 21z = 0 -84 + 21z = -42 + 0 -84 + 21z = -42 Add '84' to each side of the equation. -84 + 84 + 21z = -42 + 84 Combine like terms: -84 + 84 = 0 0 + 21z = -42 + 84 21z = -42 + 84 Combine like terms: -42 + 84 = 42 21z = 42 Divide each side by '21'. z = 2 Simplifying z = 2
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