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Simplifying 2(5a + 10) + -3(6x + -1y) = 0 Reorder the terms: 2(10 + 5a) + -3(6x + -1y) = 0 (10 * 2 + 5a * 2) + -3(6x + -1y) = 0 (20 + 10a) + -3(6x + -1y) = 0 20 + 10a + (6x * -3 + -1y * -3) = 0 20 + 10a + (-18x + 3y) = 0 Solving 20 + 10a + -18x + 3y = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 10a + -18x + -20 + 3y = 0 + -20 Reorder the terms: 20 + -20 + 10a + -18x + 3y = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 10a + -18x + 3y = 0 + -20 10a + -18x + 3y = 0 + -20 Combine like terms: 0 + -20 = -20 10a + -18x + 3y = -20 Add '18x' to each side of the equation. 10a + -18x + 18x + 3y = -20 + 18x Combine like terms: -18x + 18x = 0 10a + 0 + 3y = -20 + 18x 10a + 3y = -20 + 18x Add '-3y' to each side of the equation. 10a + 3y + -3y = -20 + 18x + -3y Combine like terms: 3y + -3y = 0 10a + 0 = -20 + 18x + -3y 10a = -20 + 18x + -3y Divide each side by '10'. a = -2 + 1.8x + -0.3y Simplifying a = -2 + 1.8x + -0.3y
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