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Simplifying 27(z + -7) + 6 = 2.1(3z + 1) Reorder the terms: 27(-7 + z) + 6 = 2.1(3z + 1) (-7 * 27 + z * 27) + 6 = 2.1(3z + 1) (-189 + 27z) + 6 = 2.1(3z + 1) Reorder the terms: -189 + 6 + 27z = 2.1(3z + 1) Combine like terms: -189 + 6 = -183 -183 + 27z = 2.1(3z + 1) Reorder the terms: -183 + 27z = 2.1(1 + 3z) -183 + 27z = (1 * 2.1 + 3z * 2.1) -183 + 27z = (2.1 + 6.3z) Solving -183 + 27z = 2.1 + 6.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-6.3z' to each side of the equation. -183 + 27z + -6.3z = 2.1 + 6.3z + -6.3z Combine like terms: 27z + -6.3z = 20.7z -183 + 20.7z = 2.1 + 6.3z + -6.3z Combine like terms: 6.3z + -6.3z = 0.0 -183 + 20.7z = 2.1 + 0.0 -183 + 20.7z = 2.1 Add '183' to each side of the equation. -183 + 183 + 20.7z = 2.1 + 183 Combine like terms: -183 + 183 = 0 0 + 20.7z = 2.1 + 183 20.7z = 2.1 + 183 Combine like terms: 2.1 + 183 = 185.1 20.7z = 185.1 Divide each side by '20.7'. z = 8.942028986 Simplifying z = 8.942028986
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