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Simplifying 30 + -7z = 3(10 + -7z) 30 + -7z = (10 * 3 + -7z * 3) 30 + -7z = (30 + -21z) Add '-30' to each side of the equation. 30 + -30 + -7z = 30 + -30 + -21z Combine like terms: 30 + -30 = 0 0 + -7z = 30 + -30 + -21z -7z = 30 + -30 + -21z Combine like terms: 30 + -30 = 0 -7z = 0 + -21z -7z = -21z Solving -7z = -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. -7z + 21z = -21z + 21z Combine like terms: -7z + 21z = 14z 14z = -21z + 21z Combine like terms: -21z + 21z = 0 14z = 0 Divide each side by '14'. z = 0 Simplifying z = 0
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