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Simplifying 4.9(z + 6.1) = -3.2z + -7.37 Reorder the terms: 4.9(6.1 + z) = -3.2z + -7.37 (6.1 * 4.9 + z * 4.9) = -3.2z + -7.37 (29.89 + 4.9z) = -3.2z + -7.37 Reorder the terms: 29.89 + 4.9z = -7.37 + -3.2z Solving 29.89 + 4.9z = -7.37 + -3.2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '3.2z' to each side of the equation. 29.89 + 4.9z + 3.2z = -7.37 + -3.2z + 3.2z Combine like terms: 4.9z + 3.2z = 8.1z 29.89 + 8.1z = -7.37 + -3.2z + 3.2z Combine like terms: -3.2z + 3.2z = 0.0 29.89 + 8.1z = -7.37 + 0.0 29.89 + 8.1z = -7.37 Add '-29.89' to each side of the equation. 29.89 + -29.89 + 8.1z = -7.37 + -29.89 Combine like terms: 29.89 + -29.89 = 0.00 0.00 + 8.1z = -7.37 + -29.89 8.1z = -7.37 + -29.89 Combine like terms: -7.37 + -29.89 = -37.26 8.1z = -37.26 Divide each side by '8.1'. z = -4.6 Simplifying z = -4.6
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