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Simplifying 4(4x + -3y + 6) = 0 Reorder the terms: 4(6 + 4x + -3y) = 0 (6 * 4 + 4x * 4 + -3y * 4) = 0 (24 + 16x + -12y) = 0 Solving 24 + 16x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + 16x + -24 + -12y = 0 + -24 Reorder the terms: 24 + -24 + 16x + -12y = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 16x + -12y = 0 + -24 16x + -12y = 0 + -24 Combine like terms: 0 + -24 = -24 16x + -12y = -24 Add '12y' to each side of the equation. 16x + -12y + 12y = -24 + 12y Combine like terms: -12y + 12y = 0 16x + 0 = -24 + 12y 16x = -24 + 12y Divide each side by '16'. x = -1.5 + 0.75y Simplifying x = -1.5 + 0.75y
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