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Simplifying 7 + 3x + -12z = 3x + 1 Reorder the terms: 7 + 3x + -12z = 1 + 3x Add '-3x' to each side of the equation. 7 + 3x + -3x + -12z = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 0 + -12z = 1 + 3x + -3x 7 + -12z = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + -12z = 1 + 0 7 + -12z = 1 Solving 7 + -12z = 1 Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -12z = 1 + -7 Combine like terms: 7 + -7 = 0 0 + -12z = 1 + -7 -12z = 1 + -7 Combine like terms: 1 + -7 = -6 -12z = -6 Divide each side by '-12'. z = 0.5 Simplifying z = 0.5
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