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Simplifying -3z + 13 = -1z + -7 Reorder the terms: 13 + -3z = -1z + -7 Reorder the terms: 13 + -3z = -7 + -1z Solving 13 + -3z = -7 + -1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add 'z' to each side of the equation. 13 + -3z + z = -7 + -1z + z Combine like terms: -3z + z = -2z 13 + -2z = -7 + -1z + z Combine like terms: -1z + z = 0 13 + -2z = -7 + 0 13 + -2z = -7 Add '-13' to each side of the equation. 13 + -13 + -2z = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -2z = -7 + -13 -2z = -7 + -13 Combine like terms: -7 + -13 = -20 -2z = -20 Divide each side by '-2'. z = 10 Simplifying z = 10
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