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Simplifying -21 = 6(5z + -3) Reorder the terms: -21 = 6(-3 + 5z) -21 = (-3 * 6 + 5z * 6) -21 = (-18 + 30z) Solving -21 = -18 + 30z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-30z' to each side of the equation. -21 + -30z = -18 + 30z + -30z Combine like terms: 30z + -30z = 0 -21 + -30z = -18 + 0 -21 + -30z = -18 Add '21' to each side of the equation. -21 + 21 + -30z = -18 + 21 Combine like terms: -21 + 21 = 0 0 + -30z = -18 + 21 -30z = -18 + 21 Combine like terms: -18 + 21 = 3 -30z = 3 Divide each side by '-30'. z = -0.1 Simplifying z = -0.1
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