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Simplifying 1.4z + -1 = 2.9z + 9 Reorder the terms: -1 + 1.4z = 2.9z + 9 Reorder the terms: -1 + 1.4z = 9 + 2.9z Solving -1 + 1.4z = 9 + 2.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.9z' to each side of the equation. -1 + 1.4z + -2.9z = 9 + 2.9z + -2.9z Combine like terms: 1.4z + -2.9z = -1.5z -1 + -1.5z = 9 + 2.9z + -2.9z Combine like terms: 2.9z + -2.9z = 0.0 -1 + -1.5z = 9 + 0.0 -1 + -1.5z = 9 Add '1' to each side of the equation. -1 + 1 + -1.5z = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -1.5z = 9 + 1 -1.5z = 9 + 1 Combine like terms: 9 + 1 = 10 -1.5z = 10 Divide each side by '-1.5'. z = -6.666666667 Simplifying z = -6.666666667
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