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Simplifying 3(5x + -10y) + -5(-6y + 3x) = 0 (5x * 3 + -10y * 3) + -5(-6y + 3x) = 0 (15x + -30y) + -5(-6y + 3x) = 0 Reorder the terms: 15x + -30y + -5(3x + -6y) = 0 15x + -30y + (3x * -5 + -6y * -5) = 0 15x + -30y + (-15x + 30y) = 0 Reorder the terms: 15x + -15x + -30y + 30y = 0 Combine like terms: 15x + -15x = 0 0 + -30y + 30y = 0 -30y + 30y = 0 Combine like terms: -30y + 30y = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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