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Simplifying 3 + 5(4z + 6) = 2z + -3 Reorder the terms: 3 + 5(6 + 4z) = 2z + -3 3 + (6 * 5 + 4z * 5) = 2z + -3 3 + (30 + 20z) = 2z + -3 Combine like terms: 3 + 30 = 33 33 + 20z = 2z + -3 Reorder the terms: 33 + 20z = -3 + 2z Solving 33 + 20z = -3 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 33 + 20z + -2z = -3 + 2z + -2z Combine like terms: 20z + -2z = 18z 33 + 18z = -3 + 2z + -2z Combine like terms: 2z + -2z = 0 33 + 18z = -3 + 0 33 + 18z = -3 Add '-33' to each side of the equation. 33 + -33 + 18z = -3 + -33 Combine like terms: 33 + -33 = 0 0 + 18z = -3 + -33 18z = -3 + -33 Combine like terms: -3 + -33 = -36 18z = -36 Divide each side by '18'. z = -2 Simplifying z = -2
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