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