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Simplifying 5z + 1 = 7(z + -1) Reorder the terms: 1 + 5z = 7(z + -1) Reorder the terms: 1 + 5z = 7(-1 + z) 1 + 5z = (-1 * 7 + z * 7) 1 + 5z = (-7 + 7z) Solving 1 + 5z = -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. 1 + 5z + -7z = -7 + 7z + -7z Combine like terms: 5z + -7z = -2z 1 + -2z = -7 + 7z + -7z Combine like terms: 7z + -7z = 0 1 + -2z = -7 + 0 1 + -2z = -7 Add '-1' to each side of the equation. 1 + -1 + -2z = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2z = -7 + -1 -2z = -7 + -1 Combine like terms: -7 + -1 = -8 -2z = -8 Divide each side by '-2'. z = 4 Simplifying z = 4
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