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Simplifying z + 6.5z + -4.1 = 2.8(z + -6.5) Reorder the terms: -4.1 + z + 6.5z = 2.8(z + -6.5) Combine like terms: z + 6.5z = 7.5z -4.1 + 7.5z = 2.8(z + -6.5) Reorder the terms: -4.1 + 7.5z = 2.8(-6.5 + z) -4.1 + 7.5z = (-6.5 * 2.8 + z * 2.8) -4.1 + 7.5z = (-18.2 + 2.8z) Solving -4.1 + 7.5z = -18.2 + 2.8z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2.8z' to each side of the equation. -4.1 + 7.5z + -2.8z = -18.2 + 2.8z + -2.8z Combine like terms: 7.5z + -2.8z = 4.7z -4.1 + 4.7z = -18.2 + 2.8z + -2.8z Combine like terms: 2.8z + -2.8z = 0.0 -4.1 + 4.7z = -18.2 + 0.0 -4.1 + 4.7z = -18.2 Add '4.1' to each side of the equation. -4.1 + 4.1 + 4.7z = -18.2 + 4.1 Combine like terms: -4.1 + 4.1 = 0.0 0.0 + 4.7z = -18.2 + 4.1 4.7z = -18.2 + 4.1 Combine like terms: -18.2 + 4.1 = -14.1 4.7z = -14.1 Divide each side by '4.7'. z = -3 Simplifying z = -3
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