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Simplifying 4(6z + -1) + -3(z + 9) = 4(z + 1) Reorder the terms: 4(-1 + 6z) + -3(z + 9) = 4(z + 1) (-1 * 4 + 6z * 4) + -3(z + 9) = 4(z + 1) (-4 + 24z) + -3(z + 9) = 4(z + 1) Reorder the terms: -4 + 24z + -3(9 + z) = 4(z + 1) -4 + 24z + (9 * -3 + z * -3) = 4(z + 1) -4 + 24z + (-27 + -3z) = 4(z + 1) Reorder the terms: -4 + -27 + 24z + -3z = 4(z + 1) Combine like terms: -4 + -27 = -31 -31 + 24z + -3z = 4(z + 1) Combine like terms: 24z + -3z = 21z -31 + 21z = 4(z + 1) Reorder the terms: -31 + 21z = 4(1 + z) -31 + 21z = (1 * 4 + z * 4) -31 + 21z = (4 + 4z) Solving -31 + 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. -31 + 21z + -4z = 4 + 4z + -4z Combine like terms: 21z + -4z = 17z -31 + 17z = 4 + 4z + -4z Combine like terms: 4z + -4z = 0 -31 + 17z = 4 + 0 -31 + 17z = 4 Add '31' to each side of the equation. -31 + 31 + 17z = 4 + 31 Combine like terms: -31 + 31 = 0 0 + 17z = 4 + 31 17z = 4 + 31 Combine like terms: 4 + 31 = 35 17z = 35 Divide each side by '17'. z = 2.058823529 Simplifying z = 2.058823529
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