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Simplifying 6(5z + -1) + -4(z + 3) = 5(z + 1) Reorder the terms: 6(-1 + 5z) + -4(z + 3) = 5(z + 1) (-1 * 6 + 5z * 6) + -4(z + 3) = 5(z + 1) (-6 + 30z) + -4(z + 3) = 5(z + 1) Reorder the terms: -6 + 30z + -4(3 + z) = 5(z + 1) -6 + 30z + (3 * -4 + z * -4) = 5(z + 1) -6 + 30z + (-12 + -4z) = 5(z + 1) Reorder the terms: -6 + -12 + 30z + -4z = 5(z + 1) Combine like terms: -6 + -12 = -18 -18 + 30z + -4z = 5(z + 1) Combine like terms: 30z + -4z = 26z -18 + 26z = 5(z + 1) Reorder the terms: -18 + 26z = 5(1 + z) -18 + 26z = (1 * 5 + z * 5) -18 + 26z = (5 + 5z) Solving -18 + 26z = 5 + 5z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-5z' to each side of the equation. -18 + 26z + -5z = 5 + 5z + -5z Combine like terms: 26z + -5z = 21z -18 + 21z = 5 + 5z + -5z Combine like terms: 5z + -5z = 0 -18 + 21z = 5 + 0 -18 + 21z = 5 Add '18' to each side of the equation. -18 + 18 + 21z = 5 + 18 Combine like terms: -18 + 18 = 0 0 + 21z = 5 + 18 21z = 5 + 18 Combine like terms: 5 + 18 = 23 21z = 23 Divide each side by '21'. z = 1.095238095 Simplifying z = 1.095238095
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