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Simplifying 13 + -1z = 2z + -8 Reorder the terms: 13 + -1z = -8 + 2z Solving 13 + -1z = -8 + 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 + -1z + -2z = -8 + 2z + -2z Combine like terms: -1z + -2z = -3z 13 + -3z = -8 + 2z + -2z Combine like terms: 2z + -2z = 0 13 + -3z = -8 + 0 13 + -3z = -8 Add '-13' to each side of the equation. 13 + -13 + -3z = -8 + -13 Combine like terms: 13 + -13 = 0 0 + -3z = -8 + -13 -3z = -8 + -13 Combine like terms: -8 + -13 = -21 -3z = -21 Divide each side by '-3'. z = 7 Simplifying z = 7
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