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Simplifying 2.5(z + -12) = 0.5(z + -16) Reorder the terms: 2.5(-12 + z) = 0.5(z + -16) (-12 * 2.5 + z * 2.5) = 0.5(z + -16) (-30 + 2.5z) = 0.5(z + -16) Reorder the terms: -30 + 2.5z = 0.5(-16 + z) -30 + 2.5z = (-16 * 0.5 + z * 0.5) -30 + 2.5z = (-8 + 0.5z) Solving -30 + 2.5z = -8 + 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. -30 + 2.5z + -0.5z = -8 + 0.5z + -0.5z Combine like terms: 2.5z + -0.5z = 2z -30 + 2z = -8 + 0.5z + -0.5z Combine like terms: 0.5z + -0.5z = 0.0 -30 + 2z = -8 + 0.0 -30 + 2z = -8 Add '30' to each side of the equation. -30 + 30 + 2z = -8 + 30 Combine like terms: -30 + 30 = 0 0 + 2z = -8 + 30 2z = -8 + 30 Combine like terms: -8 + 30 = 22 2z = 22 Divide each side by '2'. z = 11 Simplifying z = 11
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