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Simplifying 8(3x + -2y) + 4(-3x) + 4y = 0 (3x * 8 + -2y * 8) + 4(-3x) + 4y = 0 (24x + -16y) + 4(-3x) + 4y = 0 Remove parenthesis around (-3x) 24x + -16y + 4 * -3x + 4y = 0 Multiply 4 * -3 24x + -16y + -12x + 4y = 0 Reorder the terms: 24x + -12x + -16y + 4y = 0 Combine like terms: 24x + -12x = 12x 12x + -16y + 4y = 0 Combine like terms: -16y + 4y = -12y 12x + -12y = 0 Solving 12x + -12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12y' to each side of the equation. 12x + -12y + 12y = 0 + 12y Combine like terms: -12y + 12y = 0 12x + 0 = 0 + 12y 12x = 0 + 12y Remove the zero: 12x = 12y Divide each side by '12'. x = y Simplifying x = y
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