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Simplifying 3y(5 + -6) + 8(6x + -7y) = 0 Combine like terms: 5 + -6 = -1 3y(-1) + 8(6x + -7y) = 0 Reorder the terms for easier multiplication: 3 * -1y + 8(6x + -7y) = 0 Multiply 3 * -1 -3y + 8(6x + -7y) = 0 -3y + (6x * 8 + -7y * 8) = 0 -3y + (48x + -56y) = 0 Reorder the terms: 48x + -3y + -56y = 0 Combine like terms: -3y + -56y = -59y 48x + -59y = 0 Solving 48x + -59y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59y' to each side of the equation. 48x + -59y + 59y = 0 + 59y Combine like terms: -59y + 59y = 0 48x + 0 = 0 + 59y 48x = 0 + 59y Remove the zero: 48x = 59y Divide each side by '48'. x = 1.229166667y Simplifying x = 1.229166667y
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