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Simplifying 6 + -3(z + -2) = -4z + -3 Reorder the terms: 6 + -3(-2 + z) = -4z + -3 6 + (-2 * -3 + z * -3) = -4z + -3 6 + (6 + -3z) = -4z + -3 Combine like terms: 6 + 6 = 12 12 + -3z = -4z + -3 Reorder the terms: 12 + -3z = -3 + -4z Solving 12 + -3z = -3 + -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. 12 + -3z + 4z = -3 + -4z + 4z Combine like terms: -3z + 4z = 1z 12 + 1z = -3 + -4z + 4z Combine like terms: -4z + 4z = 0 12 + 1z = -3 + 0 12 + 1z = -3 Add '-12' to each side of the equation. 12 + -12 + 1z = -3 + -12 Combine like terms: 12 + -12 = 0 0 + 1z = -3 + -12 1z = -3 + -12 Combine like terms: -3 + -12 = -15 1z = -15 Divide each side by '1'. z = -15 Simplifying z = -15
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