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Simplifying 4(3z + -7) + 3(5z + -1) = 56 Reorder the terms: 4(-7 + 3z) + 3(5z + -1) = 56 (-7 * 4 + 3z * 4) + 3(5z + -1) = 56 (-28 + 12z) + 3(5z + -1) = 56 Reorder the terms: -28 + 12z + 3(-1 + 5z) = 56 -28 + 12z + (-1 * 3 + 5z * 3) = 56 -28 + 12z + (-3 + 15z) = 56 Reorder the terms: -28 + -3 + 12z + 15z = 56 Combine like terms: -28 + -3 = -31 -31 + 12z + 15z = 56 Combine like terms: 12z + 15z = 27z -31 + 27z = 56 Solving -31 + 27z = 56 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + 27z = 56 + 31 Combine like terms: -31 + 31 = 0 0 + 27z = 56 + 31 27z = 56 + 31 Combine like terms: 56 + 31 = 87 27z = 87 Divide each side by '27'. z = 3.222222222 Simplifying z = 3.222222222
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