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Simplifying 3 + -8(z + 4) = -61 Reorder the terms: 3 + -8(4 + z) = -61 3 + (4 * -8 + z * -8) = -61 3 + (-32 + -8z) = -61 Combine like terms: 3 + -32 = -29 -29 + -8z = -61 Solving -29 + -8z = -61 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '29' to each side of the equation. -29 + 29 + -8z = -61 + 29 Combine like terms: -29 + 29 = 0 0 + -8z = -61 + 29 -8z = -61 + 29 Combine like terms: -61 + 29 = -32 -8z = -32 Divide each side by '-8'. z = 4 Simplifying z = 4
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