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Simplifying 4(3z + -7) + (5z + 1) = 56 Reorder the terms: 4(-7 + 3z) + (5z + 1) = 56 (-7 * 4 + 3z * 4) + (5z + 1) = 56 (-28 + 12z) + (5z + 1) = 56 Reorder the terms: -28 + 12z + (1 + 5z) = 56 Remove parenthesis around (1 + 5z) -28 + 12z + 1 + 5z = 56 Reorder the terms: -28 + 1 + 12z + 5z = 56 Combine like terms: -28 + 1 = -27 -27 + 12z + 5z = 56 Combine like terms: 12z + 5z = 17z -27 + 17z = 56 Solving -27 + 17z = 56 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 = 56 + 27 Combine like terms: -27 + 27 = 0 0 + 17z = 56 + 27 17z = 56 + 27 Combine like terms: 56 + 27 = 83 17z = 83 Divide each side by '17'. z = 4.882352941 Simplifying z = 4.882352941
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