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Simplifying 2(15z + -5) = 4(4z + 1) Reorder the terms: 2(-5 + 15z) = 4(4z + 1) (-5 * 2 + 15z * 2) = 4(4z + 1) (-10 + 30z) = 4(4z + 1) Reorder the terms: -10 + 30z = 4(1 + 4z) -10 + 30z = (1 * 4 + 4z * 4) -10 + 30z = (4 + 16z) Solving -10 + 30z = 4 + 16z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-16z' to each side of the equation. -10 + 30z + -16z = 4 + 16z + -16z Combine like terms: 30z + -16z = 14z -10 + 14z = 4 + 16z + -16z Combine like terms: 16z + -16z = 0 -10 + 14z = 4 + 0 -10 + 14z = 4 Add '10' to each side of the equation. -10 + 10 + 14z = 4 + 10 Combine like terms: -10 + 10 = 0 0 + 14z = 4 + 10 14z = 4 + 10 Combine like terms: 4 + 10 = 14 14z = 14 Divide each side by '14'. z = 1 Simplifying z = 1
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