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Simplifying -6.3 + 4.9 = 8.2z + -7.2z + -2.4 Combine like terms: -6.3 + 4.9 = -1.4 -1.4 = 8.2z + -7.2z + -2.4 Reorder the terms: -1.4 = -2.4 + 8.2z + -7.2z Combine like terms: 8.2z + -7.2z = 1z -1.4 = -2.4 + 1z Solving -1.4 = -2.4 + 1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1z' to each side of the equation. -1.4 + -1z = -2.4 + 1z + -1z Combine like terms: 1z + -1z = 0 -1.4 + -1z = -2.4 + 0 -1.4 + -1z = -2.4 Add '1.4' to each side of the equation. -1.4 + 1.4 + -1z = -2.4 + 1.4 Combine like terms: -1.4 + 1.4 = 0.0 0.0 + -1z = -2.4 + 1.4 -1z = -2.4 + 1.4 Combine like terms: -2.4 + 1.4 = -1 -1z = -1 Divide each side by '-1'. z = 1 Simplifying z = 1
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