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Simplifying 3z + -1 = 4(z + 8) Reorder the terms: -1 + 3z = 4(z + 8) Reorder the terms: -1 + 3z = 4(8 + z) -1 + 3z = (8 * 4 + z * 4) -1 + 3z = (32 + 4z) Solving -1 + 3z = 32 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -1 + 3z + -4z = 32 + 4z + -4z Combine like terms: 3z + -4z = -1z -1 + -1z = 32 + 4z + -4z Combine like terms: 4z + -4z = 0 -1 + -1z = 32 + 0 -1 + -1z = 32 Add '1' to each side of the equation. -1 + 1 + -1z = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -1z = 32 + 1 -1z = 32 + 1 Combine like terms: 32 + 1 = 33 -1z = 33 Divide each side by '-1'. z = -33 Simplifying z = -33
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