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Simplifying 13 + 6z = 7(z + -1) Reorder the terms: 13 + 6z = 7(-1 + z) 13 + 6z = (-1 * 7 + z * 7) 13 + 6z = (-7 + 7z) Solving 13 + 6z = -7 + 7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7z' to each side of the equation. 13 + 6z + -7z = -7 + 7z + -7z Combine like terms: 6z + -7z = -1z 13 + -1z = -7 + 7z + -7z Combine like terms: 7z + -7z = 0 13 + -1z = -7 + 0 13 + -1z = -7 Add '-13' to each side of the equation. 13 + -13 + -1z = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -1z = -7 + -13 -1z = -7 + -13 Combine like terms: -7 + -13 = -20 -1z = -20 Divide each side by '-1'. z = 20 Simplifying z = 20
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