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Simplifying 5a + -3b + 10c + d = 0 Solving 5a + -3b + 10c + d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 5a + -3b + 10c + 3b + d = 0 + 3b Reorder the terms: 5a + -3b + 3b + 10c + d = 0 + 3b Combine like terms: -3b + 3b = 0 5a + 0 + 10c + d = 0 + 3b 5a + 10c + d = 0 + 3b Remove the zero: 5a + 10c + d = 3b Add '-10c' to each side of the equation. 5a + 10c + -10c + d = 3b + -10c Combine like terms: 10c + -10c = 0 5a + 0 + d = 3b + -10c 5a + d = 3b + -10c Add '-1d' to each side of the equation. 5a + d + -1d = 3b + -10c + -1d Combine like terms: d + -1d = 0 5a + 0 = 3b + -10c + -1d 5a = 3b + -10c + -1d Divide each side by '5'. a = 0.6b + -2c + -0.2d Simplifying a = 0.6b + -2c + -0.2d
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