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Simplifying 2.1z + -3.5 = -6.5(z + 2.2) Reorder the terms: -3.5 + 2.1z = -6.5(z + 2.2) Reorder the terms: -3.5 + 2.1z = -6.5(2.2 + z) -3.5 + 2.1z = (2.2 * -6.5 + z * -6.5) -3.5 + 2.1z = (-14.3 + -6.5z) Solving -3.5 + 2.1z = -14.3 + -6.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.5z' to each side of the equation. -3.5 + 2.1z + 6.5z = -14.3 + -6.5z + 6.5z Combine like terms: 2.1z + 6.5z = 8.6z -3.5 + 8.6z = -14.3 + -6.5z + 6.5z Combine like terms: -6.5z + 6.5z = 0.0 -3.5 + 8.6z = -14.3 + 0.0 -3.5 + 8.6z = -14.3 Add '3.5' to each side of the equation. -3.5 + 3.5 + 8.6z = -14.3 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + 8.6z = -14.3 + 3.5 8.6z = -14.3 + 3.5 Combine like terms: -14.3 + 3.5 = -10.8 8.6z = -10.8 Divide each side by '8.6'. z = -1.255813953 Simplifying z = -1.255813953
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