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Simplifying 3.4(z + -2) + 7 = -13 Reorder the terms: 3.4(-2 + z) + 7 = -13 (-2 * 3.4 + z * 3.4) + 7 = -13 (-6.8 + 3.4z) + 7 = -13 Reorder the terms: -6.8 + 7 + 3.4z = -13 Combine like terms: -6.8 + 7 = 0.2 0.2 + 3.4z = -13 Solving 0.2 + 3.4z = -13 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.2' to each side of the equation. 0.2 + -0.2 + 3.4z = -13 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + 3.4z = -13 + -0.2 3.4z = -13 + -0.2 Combine like terms: -13 + -0.2 = -13.2 3.4z = -13.2 Divide each side by '3.4'. z = -3.882352941 Simplifying z = -3.882352941
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