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Simplifying 3(z + 4) + -2 = 2(2x + 5) + -1x Reorder the terms: 3(4 + z) + -2 = 2(2x + 5) + -1x (4 * 3 + z * 3) + -2 = 2(2x + 5) + -1x (12 + 3z) + -2 = 2(2x + 5) + -1x Reorder the terms: 12 + -2 + 3z = 2(2x + 5) + -1x Combine like terms: 12 + -2 = 10 10 + 3z = 2(2x + 5) + -1x Reorder the terms: 10 + 3z = 2(5 + 2x) + -1x 10 + 3z = (5 * 2 + 2x * 2) + -1x 10 + 3z = (10 + 4x) + -1x Combine like terms: 4x + -1x = 3x 10 + 3z = 10 + 3x Add '-10' to each side of the equation. 10 + -10 + 3z = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 0 + 3z = 10 + -10 + 3x 3z = 10 + -10 + 3x Combine like terms: 10 + -10 = 0 3z = 0 + 3x 3z = 3x Solving 3z = 3x Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Divide each side by '3'. z = x Simplifying z = x
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