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Simplifying -3(z + 2) + -1(6z + -2) = -10z Reorder the terms: -3(2 + z) + -1(6z + -2) = -10z (2 * -3 + z * -3) + -1(6z + -2) = -10z (-6 + -3z) + -1(6z + -2) = -10z Reorder the terms: -6 + -3z + -1(-2 + 6z) = -10z -6 + -3z + (-2 * -1 + 6z * -1) = -10z -6 + -3z + (2 + -6z) = -10z Reorder the terms: -6 + 2 + -3z + -6z = -10z Combine like terms: -6 + 2 = -4 -4 + -3z + -6z = -10z Combine like terms: -3z + -6z = -9z -4 + -9z = -10z Solving -4 + -9z = -10z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '10z' to each side of the equation. -4 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z -4 + 1z = -10z + 10z Combine like terms: -10z + 10z = 0 -4 + 1z = 0 Add '4' to each side of the equation. -4 + 4 + 1z = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 1z = 0 + 4 1z = 0 + 4 Combine like terms: 0 + 4 = 4 1z = 4 Divide each side by '1'. z = 4 Simplifying z = 4
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