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Simplifying -2.1(z + 0.9) = 2.1(z + 1.6) Reorder the terms: -2.1(0.9 + z) = 2.1(z + 1.6) (0.9 * -2.1 + z * -2.1) = 2.1(z + 1.6) (-1.89 + -2.1z) = 2.1(z + 1.6) Reorder the terms: -1.89 + -2.1z = 2.1(1.6 + z) -1.89 + -2.1z = (1.6 * 2.1 + z * 2.1) -1.89 + -2.1z = (3.36 + 2.1z) Solving -1.89 + -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. -1.89 + -2.1z + -2.1z = 3.36 + 2.1z + -2.1z Combine like terms: -2.1z + -2.1z = -4.2z -1.89 + -4.2z = 3.36 + 2.1z + -2.1z Combine like terms: 2.1z + -2.1z = 0.0 -1.89 + -4.2z = 3.36 + 0.0 -1.89 + -4.2z = 3.36 Add '1.89' to each side of the equation. -1.89 + 1.89 + -4.2z = 3.36 + 1.89 Combine like terms: -1.89 + 1.89 = 0.00 0.00 + -4.2z = 3.36 + 1.89 -4.2z = 3.36 + 1.89 Combine like terms: 3.36 + 1.89 = 5.25 -4.2z = 5.25 Divide each side by '-4.2'. z = -1.25 Simplifying z = -1.25
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