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Simplifying 7(2z + 4) + -10z = 3z + -2 Reorder the terms: 7(4 + 2z) + -10z = 3z + -2 (4 * 7 + 2z * 7) + -10z = 3z + -2 (28 + 14z) + -10z = 3z + -2 Combine like terms: 14z + -10z = 4z 28 + 4z = 3z + -2 Reorder the terms: 28 + 4z = -2 + 3z Solving 28 + 4z = -2 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 28 + 4z + -3z = -2 + 3z + -3z Combine like terms: 4z + -3z = 1z 28 + 1z = -2 + 3z + -3z Combine like terms: 3z + -3z = 0 28 + 1z = -2 + 0 28 + 1z = -2 Add '-28' to each side of the equation. 28 + -28 + 1z = -2 + -28 Combine like terms: 28 + -28 = 0 0 + 1z = -2 + -28 1z = -2 + -28 Combine like terms: -2 + -28 = -30 1z = -30 Divide each side by '1'. z = -30 Simplifying z = -30
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