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Simplifying 8.5z + -8.7z + -14 = -18.5z + -4(-5.9z + -8.16) Reorder the terms: -14 + 8.5z + -8.7z = -18.5z + -4(-5.9z + -8.16) Combine like terms: 8.5z + -8.7z = -0.2z -14 + -0.2z = -18.5z + -4(-5.9z + -8.16) Reorder the terms: -14 + -0.2z = -18.5z + -4(-8.16 + -5.9z) -14 + -0.2z = -18.5z + (-8.16 * -4 + -5.9z * -4) -14 + -0.2z = -18.5z + (32.64 + 23.6z) Reorder the terms: -14 + -0.2z = 32.64 + -18.5z + 23.6z Combine like terms: -18.5z + 23.6z = 5.1z -14 + -0.2z = 32.64 + 5.1z Solving -14 + -0.2z = 32.64 + 5.1z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5.1z' to each side of the equation. -14 + -0.2z + -5.1z = 32.64 + 5.1z + -5.1z Combine like terms: -0.2z + -5.1z = -5.3z -14 + -5.3z = 32.64 + 5.1z + -5.1z Combine like terms: 5.1z + -5.1z = 0.0 -14 + -5.3z = 32.64 + 0.0 -14 + -5.3z = 32.64 Add '14' to each side of the equation. -14 + 14 + -5.3z = 32.64 + 14 Combine like terms: -14 + 14 = 0 0 + -5.3z = 32.64 + 14 -5.3z = 32.64 + 14 Combine like terms: 32.64 + 14 = 46.64 -5.3z = 46.64 Divide each side by '-5.3'. z = -8.8 Simplifying z = -8.8
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