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Simplifying 10z + -30 + -4z = 10(z + -5) Reorder the terms: -30 + 10z + -4z = 10(z + -5) Combine like terms: 10z + -4z = 6z -30 + 6z = 10(z + -5) Reorder the terms: -30 + 6z = 10(-5 + z) -30 + 6z = (-5 * 10 + z * 10) -30 + 6z = (-50 + 10z) Solving -30 + 6z = -50 + 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 + 6z + -10z = -50 + 10z + -10z Combine like terms: 6z + -10z = -4z -30 + -4z = -50 + 10z + -10z Combine like terms: 10z + -10z = 0 -30 + -4z = -50 + 0 -30 + -4z = -50 Add '30' to each side of the equation. -30 + 30 + -4z = -50 + 30 Combine like terms: -30 + 30 = 0 0 + -4z = -50 + 30 -4z = -50 + 30 Combine like terms: -50 + 30 = -20 -4z = -20 Divide each side by '-4'. z = 5 Simplifying z = 5
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