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Simplifying 7 = -2.6z + -1[3.3z + 1] Reorder the terms: 7 = -2.6z + -1[1 + 3.3z] 7 = -2.6z + [1 * -1 + 3.3z * -1] 7 = -2.6z + [-1 + -3.3z] Reorder the terms: 7 = -1 + -2.6z + -3.3z Combine like terms: -2.6z + -3.3z = -5.9z 7 = -1 + -5.9z Solving 7 = -1 + -5.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5.9z' to each side of the equation. 7 + 5.9z = -1 + -5.9z + 5.9z Combine like terms: -5.9z + 5.9z = 0.0 7 + 5.9z = -1 + 0.0 7 + 5.9z = -1 Add '-7' to each side of the equation. 7 + -7 + 5.9z = -1 + -7 Combine like terms: 7 + -7 = 0 0 + 5.9z = -1 + -7 5.9z = -1 + -7 Combine like terms: -1 + -7 = -8 5.9z = -8 Divide each side by '5.9'. z = -1.355932203 Simplifying z = -1.355932203
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