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Simplifying 4 = -2(3z + 1) + -10 Reorder the terms: 4 = -2(1 + 3z) + -10 4 = (1 * -2 + 3z * -2) + -10 4 = (-2 + -6z) + -10 Reorder the terms: 4 = -2 + -10 + -6z Combine like terms: -2 + -10 = -12 4 = -12 + -6z Solving 4 = -12 + -6z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '6z' to each side of the equation. 4 + 6z = -12 + -6z + 6z Combine like terms: -6z + 6z = 0 4 + 6z = -12 + 0 4 + 6z = -12 Add '-4' to each side of the equation. 4 + -4 + 6z = -12 + -4 Combine like terms: 4 + -4 = 0 0 + 6z = -12 + -4 6z = -12 + -4 Combine like terms: -12 + -4 = -16 6z = -16 Divide each side by '6'. z = -2.666666667 Simplifying z = -2.666666667
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