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Simplifying 7z + -13 = -53 + 2z Reorder the terms: -13 + 7z = -53 + 2z Solving -13 + 7z = -53 + 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. -13 + 7z + -2z = -53 + 2z + -2z Combine like terms: 7z + -2z = 5z -13 + 5z = -53 + 2z + -2z Combine like terms: 2z + -2z = 0 -13 + 5z = -53 + 0 -13 + 5z = -53 Add '13' to each side of the equation. -13 + 13 + 5z = -53 + 13 Combine like terms: -13 + 13 = 0 0 + 5z = -53 + 13 5z = -53 + 13 Combine like terms: -53 + 13 = -40 5z = -40 Divide each side by '5'. z = -8 Simplifying z = -8
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