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Simplifying 5(3z + -1) + 3(z + 2) = 4(2 + 1) Reorder the terms: 5(-1 + 3z) + 3(z + 2) = 4(2 + 1) (-1 * 5 + 3z * 5) + 3(z + 2) = 4(2 + 1) (-5 + 15z) + 3(z + 2) = 4(2 + 1) Reorder the terms: -5 + 15z + 3(2 + z) = 4(2 + 1) -5 + 15z + (2 * 3 + z * 3) = 4(2 + 1) -5 + 15z + (6 + 3z) = 4(2 + 1) Reorder the terms: -5 + 6 + 15z + 3z = 4(2 + 1) Combine like terms: -5 + 6 = 1 1 + 15z + 3z = 4(2 + 1) Combine like terms: 15z + 3z = 18z 1 + 18z = 4(2 + 1) Combine like terms: 2 + 1 = 3 1 + 18z = 4(3) Multiply 4 * 3 1 + 18z = 12 Solving 1 + 18z = 12 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 18z = 12 + -1 Combine like terms: 1 + -1 = 0 0 + 18z = 12 + -1 18z = 12 + -1 Combine like terms: 12 + -1 = 11 18z = 11 Divide each side by '18'. z = 0.6111111111 Simplifying z = 0.6111111111
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