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Simplifying -2.1(z + 0.09) = 2.1(z + 1.6) Reorder the terms: -2.1(0.09 + z) = 2.1(z + 1.6) (0.09 * -2.1 + z * -2.1) = 2.1(z + 1.6) (-0.189 + -2.1z) = 2.1(z + 1.6) Reorder the terms: -0.189 + -2.1z = 2.1(1.6 + z) -0.189 + -2.1z = (1.6 * 2.1 + z * 2.1) -0.189 + -2.1z = (3.36 + 2.1z) Solving -0.189 + -2.1z = 3.36 + 2.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.1z' to each side of the equation. -0.189 + -2.1z + -2.1z = 3.36 + 2.1z + -2.1z Combine like terms: -2.1z + -2.1z = -4.2z -0.189 + -4.2z = 3.36 + 2.1z + -2.1z Combine like terms: 2.1z + -2.1z = 0.0 -0.189 + -4.2z = 3.36 + 0.0 -0.189 + -4.2z = 3.36 Add '0.189' to each side of the equation. -0.189 + 0.189 + -4.2z = 3.36 + 0.189 Combine like terms: -0.189 + 0.189 = 0.000 0.000 + -4.2z = 3.36 + 0.189 -4.2z = 3.36 + 0.189 Combine like terms: 3.36 + 0.189 = 3.549 -4.2z = 3.549 Divide each side by '-4.2'. z = -0.845 Simplifying z = -0.845
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