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Simplifying -9z + -1(14z + 3) = 3 + (4z + 4) Reorder the terms: -9z + -1(3 + 14z) = 3 + (4z + 4) -9z + (3 * -1 + 14z * -1) = 3 + (4z + 4) -9z + (-3 + -14z) = 3 + (4z + 4) Reorder the terms: -3 + -9z + -14z = 3 + (4z + 4) Combine like terms: -9z + -14z = -23z -3 + -23z = 3 + (4z + 4) Reorder the terms: -3 + -23z = 3 + (4 + 4z) Remove parenthesis around (4 + 4z) -3 + -23z = 3 + 4 + 4z Combine like terms: 3 + 4 = 7 -3 + -23z = 7 + 4z Solving -3 + -23z = 7 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -3 + -23z + -4z = 7 + 4z + -4z Combine like terms: -23z + -4z = -27z -3 + -27z = 7 + 4z + -4z Combine like terms: 4z + -4z = 0 -3 + -27z = 7 + 0 -3 + -27z = 7 Add '3' to each side of the equation. -3 + 3 + -27z = 7 + 3 Combine like terms: -3 + 3 = 0 0 + -27z = 7 + 3 -27z = 7 + 3 Combine like terms: 7 + 3 = 10 -27z = 10 Divide each side by '-27'. z = -0.3703703704 Simplifying z = -0.3703703704
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