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Simplifying 8 + -1(c + 7g) + 3g = 9 8 + (c * -1 + 7g * -1) + 3g = 9 8 + (-1c + -7g) + 3g = 9 Combine like terms: -7g + 3g = -4g 8 + -1c + -4g = 9 Solving 8 + -1c + -4g = 9 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -1c + -8 + -4g = 9 + -8 Reorder the terms: 8 + -8 + -1c + -4g = 9 + -8 Combine like terms: 8 + -8 = 0 0 + -1c + -4g = 9 + -8 -1c + -4g = 9 + -8 Combine like terms: 9 + -8 = 1 -1c + -4g = 1 Add '4g' to each side of the equation. -1c + -4g + 4g = 1 + 4g Combine like terms: -4g + 4g = 0 -1c + 0 = 1 + 4g -1c = 1 + 4g Divide each side by '-1'. c = -1 + -4g Simplifying c = -1 + -4g
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