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Simplifying 6(4z + -1) + -3(z + 2) = 4(z + 1) Reorder the terms: 6(-1 + 4z) + -3(z + 2) = 4(z + 1) (-1 * 6 + 4z * 6) + -3(z + 2) = 4(z + 1) (-6 + 24z) + -3(z + 2) = 4(z + 1) Reorder the terms: -6 + 24z + -3(2 + z) = 4(z + 1) -6 + 24z + (2 * -3 + z * -3) = 4(z + 1) -6 + 24z + (-6 + -3z) = 4(z + 1) Reorder the terms: -6 + -6 + 24z + -3z = 4(z + 1) Combine like terms: -6 + -6 = -12 -12 + 24z + -3z = 4(z + 1) Combine like terms: 24z + -3z = 21z -12 + 21z = 4(z + 1) Reorder the terms: -12 + 21z = 4(1 + z) -12 + 21z = (1 * 4 + z * 4) -12 + 21z = (4 + 4z) Solving -12 + 21z = 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. -12 + 21z + -4z = 4 + 4z + -4z Combine like terms: 21z + -4z = 17z -12 + 17z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -12 + 17z = 4 + 0 -12 + 17z = 4 Add '12' to each side of the equation. -12 + 12 + 17z = 4 + 12 Combine like terms: -12 + 12 = 0 0 + 17z = 4 + 12 17z = 4 + 12 Combine like terms: 4 + 12 = 16 17z = 16 Divide each side by '17'. z = 0.9411764706 Simplifying z = 0.9411764706
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