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Simplifying 1.1z + -2.5 = 0.3(z + -2) Reorder the terms: -2.5 + 1.1z = 0.3(z + -2) Reorder the terms: -2.5 + 1.1z = 0.3(-2 + z) -2.5 + 1.1z = (-2 * 0.3 + z * 0.3) -2.5 + 1.1z = (-0.6 + 0.3z) Solving -2.5 + 1.1z = -0.6 + 0.3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.3z' to each side of the equation. -2.5 + 1.1z + -0.3z = -0.6 + 0.3z + -0.3z Combine like terms: 1.1z + -0.3z = 0.8z -2.5 + 0.8z = -0.6 + 0.3z + -0.3z Combine like terms: 0.3z + -0.3z = 0.0 -2.5 + 0.8z = -0.6 + 0.0 -2.5 + 0.8z = -0.6 Add '2.5' to each side of the equation. -2.5 + 2.5 + 0.8z = -0.6 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + 0.8z = -0.6 + 2.5 0.8z = -0.6 + 2.5 Combine like terms: -0.6 + 2.5 = 1.9 0.8z = 1.9 Divide each side by '0.8'. z = 2.375 Simplifying z = 2.375
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