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Simplifying 16 + 7(z + -2) = 6z + 1 Reorder the terms: 16 + 7(-2 + z) = 6z + 1 16 + (-2 * 7 + z * 7) = 6z + 1 16 + (-14 + 7z) = 6z + 1 Combine like terms: 16 + -14 = 2 2 + 7z = 6z + 1 Reorder the terms: 2 + 7z = 1 + 6z Solving 2 + 7z = 1 + 6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6z' to each side of the equation. 2 + 7z + -6z = 1 + 6z + -6z Combine like terms: 7z + -6z = 1z 2 + 1z = 1 + 6z + -6z Combine like terms: 6z + -6z = 0 2 + 1z = 1 + 0 2 + 1z = 1 Add '-2' to each side of the equation. 2 + -2 + 1z = 1 + -2 Combine like terms: 2 + -2 = 0 0 + 1z = 1 + -2 1z = 1 + -2 Combine like terms: 1 + -2 = -1 1z = -1 Divide each side by '1'. z = -1 Simplifying z = -1
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