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Simplifying 3(4z + -7) = -21 + 122 Reorder the terms: 3(-7 + 4z) = -21 + 122 (-7 * 3 + 4z * 3) = -21 + 122 (-21 + 12z) = -21 + 122 Combine like terms: -21 + 122 = 101 -21 + 12z = 101 Solving -21 + 12z = 101 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 12z = 101 + 21 Combine like terms: -21 + 21 = 0 0 + 12z = 101 + 21 12z = 101 + 21 Combine like terms: 101 + 21 = 122 12z = 122 Divide each side by '12'. z = 10.16666667 Simplifying z = 10.16666667
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