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Simplifying -6(3x + -9y + -8) = 0 Reorder the terms: -6(-8 + 3x + -9y) = 0 (-8 * -6 + 3x * -6 + -9y * -6) = 0 (48 + -18x + 54y) = 0 Solving 48 + -18x + 54y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + -18x + -48 + 54y = 0 + -48 Reorder the terms: 48 + -48 + -18x + 54y = 0 + -48 Combine like terms: 48 + -48 = 0 0 + -18x + 54y = 0 + -48 -18x + 54y = 0 + -48 Combine like terms: 0 + -48 = -48 -18x + 54y = -48 Add '-54y' to each side of the equation. -18x + 54y + -54y = -48 + -54y Combine like terms: 54y + -54y = 0 -18x + 0 = -48 + -54y -18x = -48 + -54y Divide each side by '-18'. x = 2.666666667 + 3y Simplifying x = 2.666666667 + 3y
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