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Simplifying 30 + 3z = -9(2z + 6) Reorder the terms: 30 + 3z = -9(6 + 2z) 30 + 3z = (6 * -9 + 2z * -9) 30 + 3z = (-54 + -18z) Solving 30 + 3z = -54 + -18z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '18z' to each side of the equation. 30 + 3z + 18z = -54 + -18z + 18z Combine like terms: 3z + 18z = 21z 30 + 21z = -54 + -18z + 18z Combine like terms: -18z + 18z = 0 30 + 21z = -54 + 0 30 + 21z = -54 Add '-30' to each side of the equation. 30 + -30 + 21z = -54 + -30 Combine like terms: 30 + -30 = 0 0 + 21z = -54 + -30 21z = -54 + -30 Combine like terms: -54 + -30 = -84 21z = -84 Divide each side by '21'. z = -4 Simplifying z = -4
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