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Simplifying z + 6z + -2.1 = -6.6(z + 6.5) Reorder the terms: -2.1 + z + 6z = -6.6(z + 6.5) Combine like terms: z + 6z = 7z -2.1 + 7z = -6.6(z + 6.5) Reorder the terms: -2.1 + 7z = -6.6(6.5 + z) -2.1 + 7z = (6.5 * -6.6 + z * -6.6) -2.1 + 7z = (-42.9 + -6.6z) Solving -2.1 + 7z = -42.9 + -6.6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6.6z' to each side of the equation. -2.1 + 7z + 6.6z = -42.9 + -6.6z + 6.6z Combine like terms: 7z + 6.6z = 13.6z -2.1 + 13.6z = -42.9 + -6.6z + 6.6z Combine like terms: -6.6z + 6.6z = 0.0 -2.1 + 13.6z = -42.9 + 0.0 -2.1 + 13.6z = -42.9 Add '2.1' to each side of the equation. -2.1 + 2.1 + 13.6z = -42.9 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + 13.6z = -42.9 + 2.1 13.6z = -42.9 + 2.1 Combine like terms: -42.9 + 2.1 = -40.8 13.6z = -40.8 Divide each side by '13.6'. z = -3 Simplifying z = -3
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