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Simplifying -2.4 + -4z + -4.7 + -2z = -5z + -0.5 Reorder the terms: -2.4 + -4.7 + -4z + -2z = -5z + -0.5 Combine like terms: -2.4 + -4.7 = -7.1 -7.1 + -4z + -2z = -5z + -0.5 Combine like terms: -4z + -2z = -6z -7.1 + -6z = -5z + -0.5 Reorder the terms: -7.1 + -6z = -0.5 + -5z Solving -7.1 + -6z = -0.5 + -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. -7.1 + -6z + 5z = -0.5 + -5z + 5z Combine like terms: -6z + 5z = -1z -7.1 + -1z = -0.5 + -5z + 5z Combine like terms: -5z + 5z = 0 -7.1 + -1z = -0.5 + 0 -7.1 + -1z = -0.5 Add '7.1' to each side of the equation. -7.1 + 7.1 + -1z = -0.5 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + -1z = -0.5 + 7.1 -1z = -0.5 + 7.1 Combine like terms: -0.5 + 7.1 = 6.6 -1z = 6.6 Divide each side by '-1'. z = -6.6 Simplifying z = -6.6
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