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Simplifying 3(z + -4) = 7z + 2 Reorder the terms: 3(-4 + z) = 7z + 2 (-4 * 3 + z * 3) = 7z + 2 (-12 + 3z) = 7z + 2 Reorder the terms: -12 + 3z = 2 + 7z Solving -12 + 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. -12 + 3z + -7z = 2 + 7z + -7z Combine like terms: 3z + -7z = -4z -12 + -4z = 2 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -4z = 2 + 0 -12 + -4z = 2 Add '12' to each side of the equation. -12 + 12 + -4z = 2 + 12 Combine like terms: -12 + 12 = 0 0 + -4z = 2 + 12 -4z = 2 + 12 Combine like terms: 2 + 12 = 14 -4z = 14 Divide each side by '-4'. z = -3.5 Simplifying z = -3.5
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