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Simplifying (-28) + -2z = (-8)(3z + 4) -28 + -2z = (-8)(3z + 4) Reorder the terms: -28 + -2z = -8(4 + 3z) -28 + -2z = (4 * -8 + 3z * -8) -28 + -2z = (-32 + -24z) Solving -28 + -2z = -32 + -24z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '24z' to each side of the equation. -28 + -2z + 24z = -32 + -24z + 24z Combine like terms: -2z + 24z = 22z -28 + 22z = -32 + -24z + 24z Combine like terms: -24z + 24z = 0 -28 + 22z = -32 + 0 -28 + 22z = -32 Add '28' to each side of the equation. -28 + 28 + 22z = -32 + 28 Combine like terms: -28 + 28 = 0 0 + 22z = -32 + 28 22z = -32 + 28 Combine like terms: -32 + 28 = -4 22z = -4 Divide each side by '22'. z = -0.1818181818 Simplifying z = -0.1818181818
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