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Simplifying 3(-2.3z + -4.19) + 16.8z = 4.4z + 8.88 + 9.4z Reorder the terms: 3(-4.19 + -2.3z) + 16.8z = 4.4z + 8.88 + 9.4z (-4.19 * 3 + -2.3z * 3) + 16.8z = 4.4z + 8.88 + 9.4z (-12.57 + -6.9z) + 16.8z = 4.4z + 8.88 + 9.4z Combine like terms: -6.9z + 16.8z = 9.9z -12.57 + 9.9z = 4.4z + 8.88 + 9.4z Reorder the terms: -12.57 + 9.9z = 8.88 + 4.4z + 9.4z Combine like terms: 4.4z + 9.4z = 13.8z -12.57 + 9.9z = 8.88 + 13.8z Solving -12.57 + 9.9z = 8.88 + 13.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-13.8z' to each side of the equation. -12.57 + 9.9z + -13.8z = 8.88 + 13.8z + -13.8z Combine like terms: 9.9z + -13.8z = -3.9z -12.57 + -3.9z = 8.88 + 13.8z + -13.8z Combine like terms: 13.8z + -13.8z = 0.0 -12.57 + -3.9z = 8.88 + 0.0 -12.57 + -3.9z = 8.88 Add '12.57' to each side of the equation. -12.57 + 12.57 + -3.9z = 8.88 + 12.57 Combine like terms: -12.57 + 12.57 = 0.00 0.00 + -3.9z = 8.88 + 12.57 -3.9z = 8.88 + 12.57 Combine like terms: 8.88 + 12.57 = 21.45 -3.9z = 21.45 Divide each side by '-3.9'. z = -5.5 Simplifying z = -5.5
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