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Simplifying 2(z + -7) + 3(5 + -2z) = 21 Reorder the terms: 2(-7 + z) + 3(5 + -2z) = 21 (-7 * 2 + z * 2) + 3(5 + -2z) = 21 (-14 + 2z) + 3(5 + -2z) = 21 -14 + 2z + (5 * 3 + -2z * 3) = 21 -14 + 2z + (15 + -6z) = 21 Reorder the terms: -14 + 15 + 2z + -6z = 21 Combine like terms: -14 + 15 = 1 1 + 2z + -6z = 21 Combine like terms: 2z + -6z = -4z 1 + -4z = 21 Solving 1 + -4z = 21 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4z = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -4z = 21 + -1 -4z = 21 + -1 Combine like terms: 21 + -1 = 20 -4z = 20 Divide each side by '-4'. z = -5 Simplifying z = -5
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