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Simplifying 6(-7z + -7 + 2(z + 1)) = 2z + -1 Reorder the terms: 6(-7z + -7 + 2(1 + z)) = 2z + -1 6(-7z + -7 + (1 * 2 + z * 2)) = 2z + -1 6(-7z + -7 + (2 + 2z)) = 2z + -1 Reorder the terms: 6(-7 + 2 + -7z + 2z) = 2z + -1 Combine like terms: -7 + 2 = -5 6(-5 + -7z + 2z) = 2z + -1 Combine like terms: -7z + 2z = -5z 6(-5 + -5z) = 2z + -1 (-5 * 6 + -5z * 6) = 2z + -1 (-30 + -30z) = 2z + -1 Reorder the terms: -30 + -30z = -1 + 2z Solving -30 + -30z = -1 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. -30 + -30z + -2z = -1 + 2z + -2z Combine like terms: -30z + -2z = -32z -30 + -32z = -1 + 2z + -2z Combine like terms: 2z + -2z = 0 -30 + -32z = -1 + 0 -30 + -32z = -1 Add '30' to each side of the equation. -30 + 30 + -32z = -1 + 30 Combine like terms: -30 + 30 = 0 0 + -32z = -1 + 30 -32z = -1 + 30 Combine like terms: -1 + 30 = 29 -32z = 29 Divide each side by '-32'. z = -0.90625 Simplifying z = -0.90625
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