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Simplifying -1 + -7z = -1(2z + 5) Reorder the terms: -1 + -7z = -1(5 + 2z) -1 + -7z = (5 * -1 + 2z * -1) -1 + -7z = (-5 + -2z) Solving -1 + -7z = -5 + -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. -1 + -7z + 2z = -5 + -2z + 2z Combine like terms: -7z + 2z = -5z -1 + -5z = -5 + -2z + 2z Combine like terms: -2z + 2z = 0 -1 + -5z = -5 + 0 -1 + -5z = -5 Add '1' to each side of the equation. -1 + 1 + -5z = -5 + 1 Combine like terms: -1 + 1 = 0 0 + -5z = -5 + 1 -5z = -5 + 1 Combine like terms: -5 + 1 = -4 -5z = -4 Divide each side by '-5'. z = 0.8 Simplifying z = 0.8
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