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Simplifying 5(6z + -1) + -5(z + 2) = 4(z + 1) Reorder the terms: 5(-1 + 6z) + -5(z + 2) = 4(z + 1) (-1 * 5 + 6z * 5) + -5(z + 2) = 4(z + 1) (-5 + 30z) + -5(z + 2) = 4(z + 1) Reorder the terms: -5 + 30z + -5(2 + z) = 4(z + 1) -5 + 30z + (2 * -5 + z * -5) = 4(z + 1) -5 + 30z + (-10 + -5z) = 4(z + 1) Reorder the terms: -5 + -10 + 30z + -5z = 4(z + 1) Combine like terms: -5 + -10 = -15 -15 + 30z + -5z = 4(z + 1) Combine like terms: 30z + -5z = 25z -15 + 25z = 4(z + 1) Reorder the terms: -15 + 25z = 4(1 + z) -15 + 25z = (1 * 4 + z * 4) -15 + 25z = (4 + 4z) Solving -15 + 25z = 4 + 4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-4z' to each side of the equation. -15 + 25z + -4z = 4 + 4z + -4z Combine like terms: 25z + -4z = 21z -15 + 21z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -15 + 21z = 4 + 0 -15 + 21z = 4 Add '15' to each side of the equation. -15 + 15 + 21z = 4 + 15 Combine like terms: -15 + 15 = 0 0 + 21z = 4 + 15 21z = 4 + 15 Combine like terms: 4 + 15 = 19 21z = 19 Divide each side by '21'. z = 0.9047619048 Simplifying z = 0.9047619048
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