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Simplifying 3(4z + -6.1) = 7(2.2z + 5) Reorder the terms: 3(-6.1 + 4z) = 7(2.2z + 5) (-6.1 * 3 + 4z * 3) = 7(2.2z + 5) (-18.3 + 12z) = 7(2.2z + 5) Reorder the terms: -18.3 + 12z = 7(5 + 2.2z) -18.3 + 12z = (5 * 7 + 2.2z * 7) -18.3 + 12z = (35 + 15.4z) Solving -18.3 + 12z = 35 + 15.4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-15.4z' to each side of the equation. -18.3 + 12z + -15.4z = 35 + 15.4z + -15.4z Combine like terms: 12z + -15.4z = -3.4z -18.3 + -3.4z = 35 + 15.4z + -15.4z Combine like terms: 15.4z + -15.4z = 0.0 -18.3 + -3.4z = 35 + 0.0 -18.3 + -3.4z = 35 Add '18.3' to each side of the equation. -18.3 + 18.3 + -3.4z = 35 + 18.3 Combine like terms: -18.3 + 18.3 = 0.0 0.0 + -3.4z = 35 + 18.3 -3.4z = 35 + 18.3 Combine like terms: 35 + 18.3 = 53.3 -3.4z = 53.3 Divide each side by '-3.4'. z = -15.67647059 Simplifying z = -15.67647059
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