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Simplifying z + -2.1z + -3.5 = 6.5(z + 2.2) Reorder the terms: -3.5 + z + -2.1z = 6.5(z + 2.2) Combine like terms: z + -2.1z = -1.1z -3.5 + -1.1z = 6.5(z + 2.2) Reorder the terms: -3.5 + -1.1z = 6.5(2.2 + z) -3.5 + -1.1z = (2.2 * 6.5 + z * 6.5) -3.5 + -1.1z = (14.3 + 6.5z) Solving -3.5 + -1.1z = 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 + -1.1z + -6.5z = 14.3 + 6.5z + -6.5z Combine like terms: -1.1z + -6.5z = -7.6z -3.5 + -7.6z = 14.3 + 6.5z + -6.5z Combine like terms: 6.5z + -6.5z = 0.0 -3.5 + -7.6z = 14.3 + 0.0 -3.5 + -7.6z = 14.3 Add '3.5' to each side of the equation. -3.5 + 3.5 + -7.6z = 14.3 + 3.5 Combine like terms: -3.5 + 3.5 = 0.0 0.0 + -7.6z = 14.3 + 3.5 -7.6z = 14.3 + 3.5 Combine like terms: 14.3 + 3.5 = 17.8 -7.6z = 17.8 Divide each side by '-7.6'. z = -2.342105263 Simplifying z = -2.342105263
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