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Simplifying -5(z + 5) + -1(5 + 4z) = -10z Reorder the terms: -5(5 + z) + -1(5 + 4z) = -10z (5 * -5 + z * -5) + -1(5 + 4z) = -10z (-25 + -5z) + -1(5 + 4z) = -10z -25 + -5z + (5 * -1 + 4z * -1) = -10z -25 + -5z + (-5 + -4z) = -10z Reorder the terms: -25 + -5 + -5z + -4z = -10z Combine like terms: -25 + -5 = -30 -30 + -5z + -4z = -10z Combine like terms: -5z + -4z = -9z -30 + -9z = -10z Solving -30 + -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. -30 + -9z + 10z = -10z + 10z Combine like terms: -9z + 10z = 1z -30 + 1z = -10z + 10z Combine like terms: -10z + 10z = 0 -30 + 1z = 0 Add '30' to each side of the equation. -30 + 30 + 1z = 0 + 30 Combine like terms: -30 + 30 = 0 0 + 1z = 0 + 30 1z = 0 + 30 Combine like terms: 0 + 30 = 30 1z = 30 Divide each side by '1'. z = 30 Simplifying z = 30
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