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Simplifying 3(2x + -1) + 5 = 6x + z Reorder the terms: 3(-1 + 2x) + 5 = 6x + z (-1 * 3 + 2x * 3) + 5 = 6x + z (-3 + 6x) + 5 = 6x + z Reorder the terms: -3 + 5 + 6x = 6x + z Combine like terms: -3 + 5 = 2 2 + 6x = 6x + z Add '-6x' to each side of the equation. 2 + 6x + -6x = 6x + -6x + z Combine like terms: 6x + -6x = 0 2 + 0 = 6x + -6x + z 2 = 6x + -6x + z Combine like terms: 6x + -6x = 0 2 = 0 + z 2 = z Solving 2 = 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 + -1z = z + -1z Combine like terms: z + -1z = 0 2 + -1z = 0 Add '-2' to each side of the equation. 2 + -2 + -1z = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1z = 0 + -2 -1z = 0 + -2 Combine like terms: 0 + -2 = -2 -1z = -2 Divide each side by '-1'. z = 2 Simplifying z = 2
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