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Simplifying 1a + 2b + 3c + -4d + -5e + -6f + 7g = 98 Solving 1a + 2b + 3c + -4d + -5e + -6f + 7g = 98 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2b' to each side of the equation. 1a + 2b + 3c + -4d + -5e + -6f + -2b + 7g = 98 + -2b Reorder the terms: 1a + 2b + -2b + 3c + -4d + -5e + -6f + 7g = 98 + -2b Combine like terms: 2b + -2b = 0 1a + 0 + 3c + -4d + -5e + -6f + 7g = 98 + -2b 1a + 3c + -4d + -5e + -6f + 7g = 98 + -2b Add '-3c' to each side of the equation. 1a + 3c + -4d + -5e + -6f + -3c + 7g = 98 + -2b + -3c Reorder the terms: 1a + 3c + -3c + -4d + -5e + -6f + 7g = 98 + -2b + -3c Combine like terms: 3c + -3c = 0 1a + 0 + -4d + -5e + -6f + 7g = 98 + -2b + -3c 1a + -4d + -5e + -6f + 7g = 98 + -2b + -3c Add '4d' to each side of the equation. 1a + -4d + -5e + -6f + 4d + 7g = 98 + -2b + -3c + 4d Reorder the terms: 1a + -4d + 4d + -5e + -6f + 7g = 98 + -2b + -3c + 4d Combine like terms: -4d + 4d = 0 1a + 0 + -5e + -6f + 7g = 98 + -2b + -3c + 4d 1a + -5e + -6f + 7g = 98 + -2b + -3c + 4d Add '5e' to each side of the equation. 1a + -5e + -6f + 5e + 7g = 98 + -2b + -3c + 4d + 5e Reorder the terms: 1a + -5e + 5e + -6f + 7g = 98 + -2b + -3c + 4d + 5e Combine like terms: -5e + 5e = 0 1a + 0 + -6f + 7g = 98 + -2b + -3c + 4d + 5e 1a + -6f + 7g = 98 + -2b + -3c + 4d + 5e Add '6f' to each side of the equation. 1a + -6f + 6f + 7g = 98 + -2b + -3c + 4d + 5e + 6f Combine like terms: -6f + 6f = 0 1a + 0 + 7g = 98 + -2b + -3c + 4d + 5e + 6f 1a + 7g = 98 + -2b + -3c + 4d + 5e + 6f Add '-7g' to each side of the equation. 1a + 7g + -7g = 98 + -2b + -3c + 4d + 5e + 6f + -7g Combine like terms: 7g + -7g = 0 1a + 0 = 98 + -2b + -3c + 4d + 5e + 6f + -7g 1a = 98 + -2b + -3c + 4d + 5e + 6f + -7g Divide each side by '1'. a = 98 + -2b + -3c + 4d + 5e + 6f + -7g Simplifying a = 98 + -2b + -3c + 4d + 5e + 6f + -7g
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