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Simplifying 13 + -0.5(6z + 18) = -4z + -12 Reorder the terms: 13 + -0.5(18 + 6z) = -4z + -12 13 + (18 * -0.5 + 6z * -0.5) = -4z + -12 13 + (-9 + -3z) = -4z + -12 Combine like terms: 13 + -9 = 4 4 + -3z = -4z + -12 Reorder the terms: 4 + -3z = -12 + -4z Solving 4 + -3z = -12 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 4 + -3z + 4z = -12 + -4z + 4z Combine like terms: -3z + 4z = 1z 4 + 1z = -12 + -4z + 4z Combine like terms: -4z + 4z = 0 4 + 1z = -12 + 0 4 + 1z = -12 Add '-4' to each side of the equation. 4 + -4 + 1z = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 1z = -12 + -4 1z = -12 + -4 Combine like terms: -12 + -4 = -16 1z = -16 Divide each side by '1'. z = -16 Simplifying z = -16
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