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Simplifying 6(z + -2) = 7z + -1 Reorder the terms: 6(-2 + z) = 7z + -1 (-2 * 6 + z * 6) = 7z + -1 (-12 + 6z) = 7z + -1 Reorder the terms: -12 + 6z = -1 + 7z Solving -12 + 6z = -1 + 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 + 6z + -7z = -1 + 7z + -7z Combine like terms: 6z + -7z = -1z -12 + -1z = -1 + 7z + -7z Combine like terms: 7z + -7z = 0 -12 + -1z = -1 + 0 -12 + -1z = -1 Add '12' to each side of the equation. -12 + 12 + -1z = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -1z = -1 + 12 -1z = -1 + 12 Combine like terms: -1 + 12 = 11 -1z = 11 Divide each side by '-1'. z = -11 Simplifying z = -11
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