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Simplifying 4(3x + 5y + 2y) + 3(x + -1z) = 0 Combine like terms: 5y + 2y = 7y 4(3x + 7y) + 3(x + -1z) = 0 (3x * 4 + 7y * 4) + 3(x + -1z) = 0 (12x + 28y) + 3(x + -1z) = 0 12x + 28y + (x * 3 + -1z * 3) = 0 12x + 28y + (3x + -3z) = 0 Reorder the terms: 12x + 3x + 28y + -3z = 0 Combine like terms: 12x + 3x = 15x 15x + 28y + -3z = 0 Solving 15x + 28y + -3z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. 15x + 28y + -28y + -3z = 0 + -28y Combine like terms: 28y + -28y = 0 15x + 0 + -3z = 0 + -28y 15x + -3z = 0 + -28y Remove the zero: 15x + -3z = -28y Add '3z' to each side of the equation. 15x + -3z + 3z = -28y + 3z Combine like terms: -3z + 3z = 0 15x + 0 = -28y + 3z 15x = -28y + 3z Divide each side by '15'. x = -1.866666667y + 0.2z Simplifying x = -1.866666667y + 0.2z
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