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Simplifying 3x + 4y + mz = 7 Reorder the terms: mz + 3x + 4y = 7 Solving mz + 3x + 4y = 7 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3x' to each side of the equation. mz + 3x + -3x + 4y = 7 + -3x Combine like terms: 3x + -3x = 0 mz + 0 + 4y = 7 + -3x mz + 4y = 7 + -3x Add '-4y' to each side of the equation. mz + 4y + -4y = 7 + -3x + -4y Combine like terms: 4y + -4y = 0 mz + 0 = 7 + -3x + -4y mz = 7 + -3x + -4y Divide each side by 'z'. m = 7z-1 + -3xz-1 + -4yz-1 Simplifying m = 7z-1 + -3xz-1 + -4yz-1 Reorder the terms: m = -3xz-1 + -4yz-1 + 7z-1
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