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Simplifying -4.2 + -5z + -4.8 + -1z = -5z + 6.7 Reorder the terms: -4.2 + -4.8 + -5z + -1z = -5z + 6.7 Combine like terms: -4.2 + -4.8 = -9 -9 + -5z + -1z = -5z + 6.7 Combine like terms: -5z + -1z = -6z -9 + -6z = -5z + 6.7 Reorder the terms: -9 + -6z = 6.7 + -5z Solving -9 + -6z = 6.7 + -5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5z' to each side of the equation. -9 + -6z + 5z = 6.7 + -5z + 5z Combine like terms: -6z + 5z = -1z -9 + -1z = 6.7 + -5z + 5z Combine like terms: -5z + 5z = 0 -9 + -1z = 6.7 + 0 -9 + -1z = 6.7 Add '9' to each side of the equation. -9 + 9 + -1z = 6.7 + 9 Combine like terms: -9 + 9 = 0 0 + -1z = 6.7 + 9 -1z = 6.7 + 9 Combine like terms: 6.7 + 9 = 15.7 -1z = 15.7 Divide each side by '-1'. z = -15.7 Simplifying z = -15.7
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