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Simplifying -6.6 + -5z + -3.1 + -3z = -7z + -4.9 Reorder the terms: -6.6 + -3.1 + -5z + -3z = -7z + -4.9 Combine like terms: -6.6 + -3.1 = -9.7 -9.7 + -5z + -3z = -7z + -4.9 Combine like terms: -5z + -3z = -8z -9.7 + -8z = -7z + -4.9 Reorder the terms: -9.7 + -8z = -4.9 + -7z Solving -9.7 + -8z = -4.9 + -7z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '7z' to each side of the equation. -9.7 + -8z + 7z = -4.9 + -7z + 7z Combine like terms: -8z + 7z = -1z -9.7 + -1z = -4.9 + -7z + 7z Combine like terms: -7z + 7z = 0 -9.7 + -1z = -4.9 + 0 -9.7 + -1z = -4.9 Add '9.7' to each side of the equation. -9.7 + 9.7 + -1z = -4.9 + 9.7 Combine like terms: -9.7 + 9.7 = 0.0 0.0 + -1z = -4.9 + 9.7 -1z = -4.9 + 9.7 Combine like terms: -4.9 + 9.7 = 4.8 -1z = 4.8 Divide each side by '-1'. z = -4.8 Simplifying z = -4.8
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