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