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Simplifying z + -3z + 3.4 = -0.1(z + 4) Reorder the terms: 3.4 + z + -3z = -0.1(z + 4) Combine like terms: z + -3z = -2z 3.4 + -2z = -0.1(z + 4) Reorder the terms: 3.4 + -2z = -0.1(4 + z) 3.4 + -2z = (4 * -0.1 + z * -0.1) 3.4 + -2z = (-0.4 + -0.1z) Solving 3.4 + -2z = -0.4 + -0.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '0.1z' to each side of the equation. 3.4 + -2z + 0.1z = -0.4 + -0.1z + 0.1z Combine like terms: -2z + 0.1z = -1.9z 3.4 + -1.9z = -0.4 + -0.1z + 0.1z Combine like terms: -0.1z + 0.1z = 0.0 3.4 + -1.9z = -0.4 + 0.0 3.4 + -1.9z = -0.4 Add '-3.4' to each side of the equation. 3.4 + -3.4 + -1.9z = -0.4 + -3.4 Combine like terms: 3.4 + -3.4 = 0.0 0.0 + -1.9z = -0.4 + -3.4 -1.9z = -0.4 + -3.4 Combine like terms: -0.4 + -3.4 = -3.8 -1.9z = -3.8 Divide each side by '-1.9'. z = 2 Simplifying z = 2
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