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Simplifying 5.13 = 3z + -1(-2.73) Multiply -1 * -2.73 5.13 = 3z + 2.73 Reorder the terms: 5.13 = 2.73 + 3z Solving 5.13 = 2.73 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 5.13 + -3z = 2.73 + 3z + -3z Combine like terms: 3z + -3z = 0 5.13 + -3z = 2.73 + 0 5.13 + -3z = 2.73 Add '-5.13' to each side of the equation. 5.13 + -5.13 + -3z = 2.73 + -5.13 Combine like terms: 5.13 + -5.13 = 0.00 0.00 + -3z = 2.73 + -5.13 -3z = 2.73 + -5.13 Combine like terms: 2.73 + -5.13 = -2.4 -3z = -2.4 Divide each side by '-3'. z = 0.8 Simplifying z = 0.8
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