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