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Simplifying z + -6.8z + -5.8 = -2.9(2 + -6) Reorder the terms: -5.8 + z + -6.8z = -2.9(2 + -6) Combine like terms: z + -6.8z = -5.8z -5.8 + -5.8z = -2.9(2 + -6) Combine like terms: 2 + -6 = -4 -5.8 + -5.8z = -2.9(-4) Multiply -2.9 * -4 -5.8 + -5.8z = 11.6 Solving -5.8 + -5.8z = 11.6 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '5.8' to each side of the equation. -5.8 + 5.8 + -5.8z = 11.6 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + -5.8z = 11.6 + 5.8 -5.8z = 11.6 + 5.8 Combine like terms: 11.6 + 5.8 = 17.4 -5.8z = 17.4 Divide each side by '-5.8'. z = -3 Simplifying z = -3
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