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Simplifying 1.9(z + -1.6) = -1.9(z + 0.6) Reorder the terms: 1.9(-1.6 + z) = -1.9(z + 0.6) (-1.6 * 1.9 + z * 1.9) = -1.9(z + 0.6) (-3.04 + 1.9z) = -1.9(z + 0.6) Reorder the terms: -3.04 + 1.9z = -1.9(0.6 + z) -3.04 + 1.9z = (0.6 * -1.9 + z * -1.9) -3.04 + 1.9z = (-1.14 + -1.9z) Solving -3.04 + 1.9z = -1.14 + -1.9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.9z' to each side of the equation. -3.04 + 1.9z + 1.9z = -1.14 + -1.9z + 1.9z Combine like terms: 1.9z + 1.9z = 3.8z -3.04 + 3.8z = -1.14 + -1.9z + 1.9z Combine like terms: -1.9z + 1.9z = 0.0 -3.04 + 3.8z = -1.14 + 0.0 -3.04 + 3.8z = -1.14 Add '3.04' to each side of the equation. -3.04 + 3.04 + 3.8z = -1.14 + 3.04 Combine like terms: -3.04 + 3.04 = 0.00 0.00 + 3.8z = -1.14 + 3.04 3.8z = -1.14 + 3.04 Combine like terms: -1.14 + 3.04 = 1.9 3.8z = 1.9 Divide each side by '3.8'. z = 0.5 Simplifying z = 0.5
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