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Simplifying 2.1(3 + 6z) = 6.7 + 13z (3 * 2.1 + 6z * 2.1) = 6.7 + 13z (6.3 + 12.6z) = 6.7 + 13z Solving 6.3 + 12.6z = 6.7 + 13z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13z' to each side of the equation. 6.3 + 12.6z + -13z = 6.7 + 13z + -13z Combine like terms: 12.6z + -13z = -0.4z 6.3 + -0.4z = 6.7 + 13z + -13z Combine like terms: 13z + -13z = 0 6.3 + -0.4z = 6.7 + 0 6.3 + -0.4z = 6.7 Add '-6.3' to each side of the equation. 6.3 + -6.3 + -0.4z = 6.7 + -6.3 Combine like terms: 6.3 + -6.3 = 0.0 0.0 + -0.4z = 6.7 + -6.3 -0.4z = 6.7 + -6.3 Combine like terms: 6.7 + -6.3 = 0.4 -0.4z = 0.4 Divide each side by '-0.4'. z = -1 Simplifying z = -1
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