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Simplifying 2.7(z + -1) = 0.5(z + -12) Reorder the terms: 2.7(-1 + z) = 0.5(z + -12) (-1 * 2.7 + z * 2.7) = 0.5(z + -12) (-2.7 + 2.7z) = 0.5(z + -12) Reorder the terms: -2.7 + 2.7z = 0.5(-12 + z) -2.7 + 2.7z = (-12 * 0.5 + z * 0.5) -2.7 + 2.7z = (-6 + 0.5z) Solving -2.7 + 2.7z = -6 + 0.5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-0.5z' to each side of the equation. -2.7 + 2.7z + -0.5z = -6 + 0.5z + -0.5z Combine like terms: 2.7z + -0.5z = 2.2z -2.7 + 2.2z = -6 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -2.7 + 2.2z = -6 + 0.0 -2.7 + 2.2z = -6 Add '2.7' to each side of the equation. -2.7 + 2.7 + 2.2z = -6 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 2.2z = -6 + 2.7 2.2z = -6 + 2.7 Combine like terms: -6 + 2.7 = -3.3 2.2z = -3.3 Divide each side by '2.2'. z = -1.5 Simplifying z = -1.5
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