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Simplifying 4a + 7b + 2c + -1d + -10 = 0 Reorder the terms: -10 + 4a + 7b + 2c + -1d = 0 Solving -10 + 4a + 7b + 2c + -1d = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 4a + 7b + 2c + 10 + -1d = 0 + 10 Reorder the terms: -10 + 10 + 4a + 7b + 2c + -1d = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 4a + 7b + 2c + -1d = 0 + 10 4a + 7b + 2c + -1d = 0 + 10 Combine like terms: 0 + 10 = 10 4a + 7b + 2c + -1d = 10 Add '-7b' to each side of the equation. 4a + 7b + 2c + -7b + -1d = 10 + -7b Reorder the terms: 4a + 7b + -7b + 2c + -1d = 10 + -7b Combine like terms: 7b + -7b = 0 4a + 0 + 2c + -1d = 10 + -7b 4a + 2c + -1d = 10 + -7b Add '-2c' to each side of the equation. 4a + 2c + -2c + -1d = 10 + -7b + -2c Combine like terms: 2c + -2c = 0 4a + 0 + -1d = 10 + -7b + -2c 4a + -1d = 10 + -7b + -2c Add 'd' to each side of the equation. 4a + -1d + d = 10 + -7b + -2c + d Combine like terms: -1d + d = 0 4a + 0 = 10 + -7b + -2c + d 4a = 10 + -7b + -2c + d Divide each side by '4'. a = 2.5 + -1.75b + -0.5c + 0.25d Simplifying a = 2.5 + -1.75b + -0.5c + 0.25d
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