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Simplifying 1.1(z + -1.5) = -1.1(z + -1) Reorder the terms: 1.1(-1.5 + z) = -1.1(z + -1) (-1.5 * 1.1 + z * 1.1) = -1.1(z + -1) (-1.65 + 1.1z) = -1.1(z + -1) Reorder the terms: -1.65 + 1.1z = -1.1(-1 + z) -1.65 + 1.1z = (-1 * -1.1 + z * -1.1) -1.65 + 1.1z = (1.1 + -1.1z) Solving -1.65 + 1.1z = 1.1 + -1.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '1.1z' to each side of the equation. -1.65 + 1.1z + 1.1z = 1.1 + -1.1z + 1.1z Combine like terms: 1.1z + 1.1z = 2.2z -1.65 + 2.2z = 1.1 + -1.1z + 1.1z Combine like terms: -1.1z + 1.1z = 0.0 -1.65 + 2.2z = 1.1 + 0.0 -1.65 + 2.2z = 1.1 Add '1.65' to each side of the equation. -1.65 + 1.65 + 2.2z = 1.1 + 1.65 Combine like terms: -1.65 + 1.65 = 0.00 0.00 + 2.2z = 1.1 + 1.65 2.2z = 1.1 + 1.65 Combine like terms: 1.1 + 1.65 = 2.75 2.2z = 2.75 Divide each side by '2.2'. z = 1.25 Simplifying z = 1.25
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