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Simplifying -0.16(z + 3) = 0.5(z + -6) Reorder the terms: -0.16(3 + z) = 0.5(z + -6) (3 * -0.16 + z * -0.16) = 0.5(z + -6) (-0.48 + -0.16z) = 0.5(z + -6) Reorder the terms: -0.48 + -0.16z = 0.5(-6 + z) -0.48 + -0.16z = (-6 * 0.5 + z * 0.5) -0.48 + -0.16z = (-3 + 0.5z) Solving -0.48 + -0.16z = -3 + 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. -0.48 + -0.16z + -0.5z = -3 + 0.5z + -0.5z Combine like terms: -0.16z + -0.5z = -0.66z -0.48 + -0.66z = -3 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -0.48 + -0.66z = -3 + 0.0 -0.48 + -0.66z = -3 Add '0.48' to each side of the equation. -0.48 + 0.48 + -0.66z = -3 + 0.48 Combine like terms: -0.48 + 0.48 = 0.00 0.00 + -0.66z = -3 + 0.48 -0.66z = -3 + 0.48 Combine like terms: -3 + 0.48 = -2.52 -0.66z = -2.52 Divide each side by '-0.66'. z = 3.818181818 Simplifying z = 3.818181818
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