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Simplifying 7(z + -7) + 6 = 2.1(3z + 1) Reorder the terms: 7(-7 + z) + 6 = 2.1(3z + 1) (-7 * 7 + z * 7) + 6 = 2.1(3z + 1) (-49 + 7z) + 6 = 2.1(3z + 1) Reorder the terms: -49 + 6 + 7z = 2.1(3z + 1) Combine like terms: -49 + 6 = -43 -43 + 7z = 2.1(3z + 1) Reorder the terms: -43 + 7z = 2.1(1 + 3z) -43 + 7z = (1 * 2.1 + 3z * 2.1) -43 + 7z = (2.1 + 6.3z) Solving -43 + 7z = 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. -43 + 7z + -6.3z = 2.1 + 6.3z + -6.3z Combine like terms: 7z + -6.3z = 0.7z -43 + 0.7z = 2.1 + 6.3z + -6.3z Combine like terms: 6.3z + -6.3z = 0.0 -43 + 0.7z = 2.1 + 0.0 -43 + 0.7z = 2.1 Add '43' to each side of the equation. -43 + 43 + 0.7z = 2.1 + 43 Combine like terms: -43 + 43 = 0 0 + 0.7z = 2.1 + 43 0.7z = 2.1 + 43 Combine like terms: 2.1 + 43 = 45.1 0.7z = 45.1 Divide each side by '0.7'. z = 64.42857143 Simplifying z = 64.42857143
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