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Simplifying -5z + -1(2z + -2) = -3z + 8 Reorder the terms: -5z + -1(-2 + 2z) = -3z + 8 -5z + (-2 * -1 + 2z * -1) = -3z + 8 -5z + (2 + -2z) = -3z + 8 Reorder the terms: 2 + -5z + -2z = -3z + 8 Combine like terms: -5z + -2z = -7z 2 + -7z = -3z + 8 Reorder the terms: 2 + -7z = 8 + -3z Solving 2 + -7z = 8 + -3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3z' to each side of the equation. 2 + -7z + 3z = 8 + -3z + 3z Combine like terms: -7z + 3z = -4z 2 + -4z = 8 + -3z + 3z Combine like terms: -3z + 3z = 0 2 + -4z = 8 + 0 2 + -4z = 8 Add '-2' to each side of the equation. 2 + -2 + -4z = 8 + -2 Combine like terms: 2 + -2 = 0 0 + -4z = 8 + -2 -4z = 8 + -2 Combine like terms: 8 + -2 = 6 -4z = 6 Divide each side by '-4'. z = -1.5 Simplifying z = -1.5
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