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Simplifying -3(-1z + -4) + -2(6z + -2) = -1z + 13 + 4z Reorder the terms: -3(-4 + -1z) + -2(6z + -2) = -1z + 13 + 4z (-4 * -3 + -1z * -3) + -2(6z + -2) = -1z + 13 + 4z (12 + 3z) + -2(6z + -2) = -1z + 13 + 4z Reorder the terms: 12 + 3z + -2(-2 + 6z) = -1z + 13 + 4z 12 + 3z + (-2 * -2 + 6z * -2) = -1z + 13 + 4z 12 + 3z + (4 + -12z) = -1z + 13 + 4z Reorder the terms: 12 + 4 + 3z + -12z = -1z + 13 + 4z Combine like terms: 12 + 4 = 16 16 + 3z + -12z = -1z + 13 + 4z Combine like terms: 3z + -12z = -9z 16 + -9z = -1z + 13 + 4z Reorder the terms: 16 + -9z = 13 + -1z + 4z Combine like terms: -1z + 4z = 3z 16 + -9z = 13 + 3z Solving 16 + -9z = 13 + 3z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-3z' to each side of the equation. 16 + -9z + -3z = 13 + 3z + -3z Combine like terms: -9z + -3z = -12z 16 + -12z = 13 + 3z + -3z Combine like terms: 3z + -3z = 0 16 + -12z = 13 + 0 16 + -12z = 13 Add '-16' to each side of the equation. 16 + -16 + -12z = 13 + -16 Combine like terms: 16 + -16 = 0 0 + -12z = 13 + -16 -12z = 13 + -16 Combine like terms: 13 + -16 = -3 -12z = -3 Divide each side by '-12'. z = 0.25 Simplifying z = 0.25
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