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Simplifying 15z + -14(z + -6) + 10 = 105 Reorder the terms: 15z + -14(-6 + z) + 10 = 105 15z + (-6 * -14 + z * -14) + 10 = 105 15z + (84 + -14z) + 10 = 105 Reorder the terms: 84 + 10 + 15z + -14z = 105 Combine like terms: 84 + 10 = 94 94 + 15z + -14z = 105 Combine like terms: 15z + -14z = 1z 94 + 1z = 105 Solving 94 + 1z = 105 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-94' to each side of the equation. 94 + -94 + 1z = 105 + -94 Combine like terms: 94 + -94 = 0 0 + 1z = 105 + -94 1z = 105 + -94 Combine like terms: 105 + -94 = 11 1z = 11 Divide each side by '1'. z = 11 Simplifying z = 11
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