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Simplifying -2(8z + 2) = -7z + 7 Reorder the terms: -2(2 + 8z) = -7z + 7 (2 * -2 + 8z * -2) = -7z + 7 (-4 + -16z) = -7z + 7 Reorder the terms: -4 + -16z = 7 + -7z Solving -4 + -16z = 7 + -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. -4 + -16z + 7z = 7 + -7z + 7z Combine like terms: -16z + 7z = -9z -4 + -9z = 7 + -7z + 7z Combine like terms: -7z + 7z = 0 -4 + -9z = 7 + 0 -4 + -9z = 7 Add '4' to each side of the equation. -4 + 4 + -9z = 7 + 4 Combine like terms: -4 + 4 = 0 0 + -9z = 7 + 4 -9z = 7 + 4 Combine like terms: 7 + 4 = 11 -9z = 11 Divide each side by '-9'. z = -1.222222222 Simplifying z = -1.222222222
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