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Simplifying 6x + -1y + 2z + -15 = 0 Reorder the terms: -15 + 6x + -1y + 2z = 0 Solving -15 + 6x + -1y + 2z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 6x + -1y + 15 + 2z = 0 + 15 Reorder the terms: -15 + 15 + 6x + -1y + 2z = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6x + -1y + 2z = 0 + 15 6x + -1y + 2z = 0 + 15 Combine like terms: 0 + 15 = 15 6x + -1y + 2z = 15 Add 'y' to each side of the equation. 6x + -1y + y + 2z = 15 + y Combine like terms: -1y + y = 0 6x + 0 + 2z = 15 + y 6x + 2z = 15 + y Add '-2z' to each side of the equation. 6x + 2z + -2z = 15 + y + -2z Combine like terms: 2z + -2z = 0 6x + 0 = 15 + y + -2z 6x = 15 + y + -2z Divide each side by '6'. x = 2.5 + 0.1666666667y + -0.3333333333z Simplifying x = 2.5 + 0.1666666667y + -0.3333333333z
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