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Simplifying 0.67z + 7 = -0.67z + 11 Reorder the terms: 7 + 0.67z = -0.67z + 11 Reorder the terms: 7 + 0.67z = 11 + -0.67z Solving 7 + 0.67z = 11 + -0.67z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.67z' to each side of the equation. 7 + 0.67z + 0.67z = 11 + -0.67z + 0.67z Combine like terms: 0.67z + 0.67z = 1.34z 7 + 1.34z = 11 + -0.67z + 0.67z Combine like terms: -0.67z + 0.67z = 0.00 7 + 1.34z = 11 + 0.00 7 + 1.34z = 11 Add '-7' to each side of the equation. 7 + -7 + 1.34z = 11 + -7 Combine like terms: 7 + -7 = 0 0 + 1.34z = 11 + -7 1.34z = 11 + -7 Combine like terms: 11 + -7 = 4 1.34z = 4 Divide each side by '1.34'. z = 2.985074627 Simplifying z = 2.985074627
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