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Simplifying 8z + -2(z + -2) = z + 3(4z + -1) Reorder the terms: 8z + -2(-2 + z) = z + 3(4z + -1) 8z + (-2 * -2 + z * -2) = z + 3(4z + -1) 8z + (4 + -2z) = z + 3(4z + -1) Reorder the terms: 4 + 8z + -2z = z + 3(4z + -1) Combine like terms: 8z + -2z = 6z 4 + 6z = z + 3(4z + -1) Reorder the terms: 4 + 6z = z + 3(-1 + 4z) 4 + 6z = z + (-1 * 3 + 4z * 3) 4 + 6z = z + (-3 + 12z) Reorder the terms: 4 + 6z = -3 + z + 12z Combine like terms: z + 12z = 13z 4 + 6z = -3 + 13z Solving 4 + 6z = -3 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 4 + 6z + -13z = -3 + 13z + -13z Combine like terms: 6z + -13z = -7z 4 + -7z = -3 + 13z + -13z Combine like terms: 13z + -13z = 0 4 + -7z = -3 + 0 4 + -7z = -3 Add '-4' to each side of the equation. 4 + -4 + -7z = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -7z = -3 + -4 -7z = -3 + -4 Combine like terms: -3 + -4 = -7 -7z = -7 Divide each side by '-7'. z = 1 Simplifying z = 1
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