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Simplifying 9.8(z + 2.1) = -4.3z + -6.21 Reorder the terms: 9.8(2.1 + z) = -4.3z + -6.21 (2.1 * 9.8 + z * 9.8) = -4.3z + -6.21 (20.58 + 9.8z) = -4.3z + -6.21 Reorder the terms: 20.58 + 9.8z = -6.21 + -4.3z Solving 20.58 + 9.8z = -6.21 + -4.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4.3z' to each side of the equation. 20.58 + 9.8z + 4.3z = -6.21 + -4.3z + 4.3z Combine like terms: 9.8z + 4.3z = 14.1z 20.58 + 14.1z = -6.21 + -4.3z + 4.3z Combine like terms: -4.3z + 4.3z = 0.0 20.58 + 14.1z = -6.21 + 0.0 20.58 + 14.1z = -6.21 Add '-20.58' to each side of the equation. 20.58 + -20.58 + 14.1z = -6.21 + -20.58 Combine like terms: 20.58 + -20.58 = 0.00 0.00 + 14.1z = -6.21 + -20.58 14.1z = -6.21 + -20.58 Combine like terms: -6.21 + -20.58 = -26.79 14.1z = -26.79 Divide each side by '14.1'. z = -1.9 Simplifying z = -1.9
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