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Simplifying 4(3z + -7) + 5z + 1 = 54 Reorder the terms: 4(-7 + 3z) + 5z + 1 = 54 (-7 * 4 + 3z * 4) + 5z + 1 = 54 (-28 + 12z) + 5z + 1 = 54 Reorder the terms: -28 + 1 + 12z + 5z = 54 Combine like terms: -28 + 1 = -27 -27 + 12z + 5z = 54 Combine like terms: 12z + 5z = 17z -27 + 17z = 54 Solving -27 + 17z = 54 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 17z = 54 + 27 Combine like terms: -27 + 27 = 0 0 + 17z = 54 + 27 17z = 54 + 27 Combine like terms: 54 + 27 = 81 17z = 81 Divide each side by '17'. z = 4.764705882 Simplifying z = 4.764705882
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