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Simplifying 5(z + 3) = 6 + 2z Reorder the terms: 5(3 + z) = 6 + 2z (3 * 5 + z * 5) = 6 + 2z (15 + 5z) = 6 + 2z Solving 15 + 5z = 6 + 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. 15 + 5z + -2z = 6 + 2z + -2z Combine like terms: 5z + -2z = 3z 15 + 3z = 6 + 2z + -2z Combine like terms: 2z + -2z = 0 15 + 3z = 6 + 0 15 + 3z = 6 Add '-15' to each side of the equation. 15 + -15 + 3z = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 3z = 6 + -15 3z = 6 + -15 Combine like terms: 6 + -15 = -9 3z = -9 Divide each side by '3'. z = -3 Simplifying z = -3
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