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Simplifying 6(z + -1) + 7 = 2z + 1 Reorder the terms: 6(-1 + z) + 7 = 2z + 1 (-1 * 6 + z * 6) + 7 = 2z + 1 (-6 + 6z) + 7 = 2z + 1 Reorder the terms: -6 + 7 + 6z = 2z + 1 Combine like terms: -6 + 7 = 1 1 + 6z = 2z + 1 Reorder the terms: 1 + 6z = 1 + 2z Add '-1' to each side of the equation. 1 + -1 + 6z = 1 + -1 + 2z Combine like terms: 1 + -1 = 0 0 + 6z = 1 + -1 + 2z 6z = 1 + -1 + 2z Combine like terms: 1 + -1 = 0 6z = 0 + 2z 6z = 2z Solving 6z = 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. 6z + -2z = 2z + -2z Combine like terms: 6z + -2z = 4z 4z = 2z + -2z Combine like terms: 2z + -2z = 0 4z = 0 Divide each side by '4'. z = 0 Simplifying z = 0
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