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Simplifying z + -3.5z + -3.4 = 3(z + 3.3) Reorder the terms: -3.4 + z + -3.5z = 3(z + 3.3) Combine like terms: z + -3.5z = -2.5z -3.4 + -2.5z = 3(z + 3.3) Reorder the terms: -3.4 + -2.5z = 3(3.3 + z) -3.4 + -2.5z = (3.3 * 3 + z * 3) -3.4 + -2.5z = (9.9 + 3z) Solving -3.4 + -2.5z = 9.9 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. -3.4 + -2.5z + -3z = 9.9 + 3z + -3z Combine like terms: -2.5z + -3z = -5.5z -3.4 + -5.5z = 9.9 + 3z + -3z Combine like terms: 3z + -3z = 0 -3.4 + -5.5z = 9.9 + 0 -3.4 + -5.5z = 9.9 Add '3.4' to each side of the equation. -3.4 + 3.4 + -5.5z = 9.9 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + -5.5z = 9.9 + 3.4 -5.5z = 9.9 + 3.4 Combine like terms: 9.9 + 3.4 = 13.3 -5.5z = 13.3 Divide each side by '-5.5'. z = -2.418181818 Simplifying z = -2.418181818
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