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Simplifying 3[z + -2] = 7z + 1 Reorder the terms: 3[-2 + z] = 7z + 1 [-2 * 3 + z * 3] = 7z + 1 [-6 + 3z] = 7z + 1 Reorder the terms: -6 + 3z = 1 + 7z Solving -6 + 3z = 1 + 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. -6 + 3z + -7z = 1 + 7z + -7z Combine like terms: 3z + -7z = -4z -6 + -4z = 1 + 7z + -7z Combine like terms: 7z + -7z = 0 -6 + -4z = 1 + 0 -6 + -4z = 1 Add '6' to each side of the equation. -6 + 6 + -4z = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -4z = 1 + 6 -4z = 1 + 6 Combine like terms: 1 + 6 = 7 -4z = 7 Divide each side by '-4'. z = -1.75 Simplifying z = -1.75
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