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Simplifying 1a + 3b + 2c + d = 1x + 5d + -3m + -9a Reorder the terms: 1a + 3b + 2c + d = -9a + 5d + -3m + 1x Solving 1a + 3b + 2c + d = -9a + 5d + -3m + 1x Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '9a' to each side of the equation. 1a + 3b + 2c + 9a + d = -9a + 5d + -3m + 9a + 1x Reorder the terms: 1a + 9a + 3b + 2c + d = -9a + 5d + -3m + 9a + 1x Combine like terms: 1a + 9a = 10a 10a + 3b + 2c + d = -9a + 5d + -3m + 9a + 1x Reorder the terms: 10a + 3b + 2c + d = -9a + 9a + 5d + -3m + 1x Combine like terms: -9a + 9a = 0 10a + 3b + 2c + d = 0 + 5d + -3m + 1x 10a + 3b + 2c + d = 5d + -3m + 1x Add '-3b' to each side of the equation. 10a + 3b + 2c + -3b + d = 5d + -3m + -3b + 1x Reorder the terms: 10a + 3b + -3b + 2c + d = 5d + -3m + -3b + 1x Combine like terms: 3b + -3b = 0 10a + 0 + 2c + d = 5d + -3m + -3b + 1x 10a + 2c + d = 5d + -3m + -3b + 1x Reorder the terms: 10a + 2c + d = -3b + 5d + -3m + 1x Add '-2c' to each side of the equation. 10a + 2c + -2c + d = -3b + 5d + -3m + -2c + 1x Combine like terms: 2c + -2c = 0 10a + 0 + d = -3b + 5d + -3m + -2c + 1x 10a + d = -3b + 5d + -3m + -2c + 1x Reorder the terms: 10a + d = -3b + -2c + 5d + -3m + 1x Add '-1d' to each side of the equation. 10a + d + -1d = -3b + -2c + 5d + -3m + -1d + 1x Combine like terms: d + -1d = 0 10a + 0 = -3b + -2c + 5d + -3m + -1d + 1x 10a = -3b + -2c + 5d + -3m + -1d + 1x Reorder the terms: 10a = -3b + -2c + 5d + -1d + -3m + 1x Combine like terms: 5d + -1d = 4d 10a = -3b + -2c + 4d + -3m + 1x Divide each side by '10'. a = -0.3b + -0.2c + 0.4d + -0.3m + 0.1x Simplifying a = -0.3b + -0.2c + 0.4d + -0.3m + 0.1x
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