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Simplifying 2.76 + 17.6z + -17.2z = -15.1 + -1.5z Combine like terms: 17.6z + -17.2z = 0.4z 2.76 + 0.4z = -15.1 + -1.5z Solving 2.76 + 0.4z = -15.1 + -1.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.5z' to each side of the equation. 2.76 + 0.4z + 1.5z = -15.1 + -1.5z + 1.5z Combine like terms: 0.4z + 1.5z = 1.9z 2.76 + 1.9z = -15.1 + -1.5z + 1.5z Combine like terms: -1.5z + 1.5z = 0.0 2.76 + 1.9z = -15.1 + 0.0 2.76 + 1.9z = -15.1 Add '-2.76' to each side of the equation. 2.76 + -2.76 + 1.9z = -15.1 + -2.76 Combine like terms: 2.76 + -2.76 = 0.00 0.00 + 1.9z = -15.1 + -2.76 1.9z = -15.1 + -2.76 Combine like terms: -15.1 + -2.76 = -17.86 1.9z = -17.86 Divide each side by '1.9'. z = -9.4 Simplifying z = -9.4
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