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Simplifying 10(2a + 3x + 2c) = 0 Reorder the terms: 10(2a + 2c + 3x) = 0 (2a * 10 + 2c * 10 + 3x * 10) = 0 (20a + 20c + 30x) = 0 Solving 20a + 20c + 30x = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20c' to each side of the equation. 20a + 20c + -20c + 30x = 0 + -20c Combine like terms: 20c + -20c = 0 20a + 0 + 30x = 0 + -20c 20a + 30x = 0 + -20c Remove the zero: 20a + 30x = -20c Add '-30x' to each side of the equation. 20a + 30x + -30x = -20c + -30x Combine like terms: 30x + -30x = 0 20a + 0 = -20c + -30x 20a = -20c + -30x Divide each side by '20'. a = -1c + -1.5x Simplifying a = -1c + -1.5x
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