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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 = 126 -21z = 126 Divide each side by '-21'. z = -6 Simplifying z = -6
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