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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 = 0.5z -3.4 + 0.5z = -9.9 + -3z + 3z Combine like terms: -3z + 3z = 0 -3.4 + 0.5z = -9.9 + 0 -3.4 + 0.5z = -9.9 Add '3.4' to each side of the equation. -3.4 + 3.4 + 0.5z = -9.9 + 3.4 Combine like terms: -3.4 + 3.4 = 0.0 0.0 + 0.5z = -9.9 + 3.4 0.5z = -9.9 + 3.4 Combine like terms: -9.9 + 3.4 = -6.5 0.5z = -6.5 Divide each side by '0.5'. z = -13 Simplifying z = -13
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