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Simplifying 3(z + -2) = 7z + 2 Reorder the terms: 3(-2 + z) = 7z + 2 (-2 * 3 + z * 3) = 7z + 2 (-6 + 3z) = 7z + 2 Reorder the terms: -6 + 3z = 2 + 7z Solving -6 + 3z = 2 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. -6 + 3z + -7z = 2 + 7z + -7z Combine like terms: 3z + -7z = -4z -6 + -4z = 2 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -4z = 2 + 0 -6 + -4z = 2 Add '6' to each side of the equation. -6 + 6 + -4z = 2 + 6 Combine like terms: -6 + 6 = 0 0 + -4z = 2 + 6 -4z = 2 + 6 Combine like terms: 2 + 6 = 8 -4z = 8 Divide each side by '-4'. z = -2 Simplifying z = -2
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