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Simplifying 3(5z + 7) = -20 + -6z Reorder the terms: 3(7 + 5z) = -20 + -6z (7 * 3 + 5z * 3) = -20 + -6z (21 + 15z) = -20 + -6z Solving 21 + 15z = -20 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 21 + 15z + 6z = -20 + -6z + 6z Combine like terms: 15z + 6z = 21z 21 + 21z = -20 + -6z + 6z Combine like terms: -6z + 6z = 0 21 + 21z = -20 + 0 21 + 21z = -20 Add '-21' to each side of the equation. 21 + -21 + 21z = -20 + -21 Combine like terms: 21 + -21 = 0 0 + 21z = -20 + -21 21z = -20 + -21 Combine like terms: -20 + -21 = -41 21z = -41 Divide each side by '21'. z = -1.952380952 Simplifying z = -1.952380952
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