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Simplifying -6(z + 5) + -1(3 + 3z) = -10z Reorder the terms: -6(5 + z) + -1(3 + 3z) = -10z (5 * -6 + z * -6) + -1(3 + 3z) = -10z (-30 + -6z) + -1(3 + 3z) = -10z -30 + -6z + (3 * -1 + 3z * -1) = -10z -30 + -6z + (-3 + -3z) = -10z Reorder the terms: -30 + -3 + -6z + -3z = -10z Combine like terms: -30 + -3 = -33 -33 + -6z + -3z = -10z Combine like terms: -6z + -3z = -9z -33 + -9z = -10z Solving -33 + -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. -33 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z -33 + 1z = -10z + 10z Combine like terms: -10z + 10z = 0 -33 + 1z = 0 Add '33' to each side of the equation. -33 + 33 + 1z = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 1z = 0 + 33 1z = 0 + 33 Combine like terms: 0 + 33 = 33 1z = 33 Divide each side by '1'. z = 33 Simplifying z = 33
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