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Simplifying 6.5z + -1 + 15z + -1 = 22z + -6 Reorder the terms: -1 + -1 + 6.5z + 15z = 22z + -6 Combine like terms: -1 + -1 = -2 -2 + 6.5z + 15z = 22z + -6 Combine like terms: 6.5z + 15z = 21.5z -2 + 21.5z = 22z + -6 Reorder the terms: -2 + 21.5z = -6 + 22z Solving -2 + 21.5z = -6 + 22z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-22z' to each side of the equation. -2 + 21.5z + -22z = -6 + 22z + -22z Combine like terms: 21.5z + -22z = -0.5z -2 + -0.5z = -6 + 22z + -22z Combine like terms: 22z + -22z = 0 -2 + -0.5z = -6 + 0 -2 + -0.5z = -6 Add '2' to each side of the equation. -2 + 2 + -0.5z = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -0.5z = -6 + 2 -0.5z = -6 + 2 Combine like terms: -6 + 2 = -4 -0.5z = -4 Divide each side by '-0.5'. z = 8 Simplifying z = 8
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