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Simplifying -9(6 + g) + -2c = -10 (6 * -9 + g * -9) + -2c = -10 (-54 + -9g) + -2c = -10 Reorder the terms: -54 + -2c + -9g = -10 Solving -54 + -2c + -9g = -10 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '54' to each side of the equation. -54 + -2c + 54 + -9g = -10 + 54 Reorder the terms: -54 + 54 + -2c + -9g = -10 + 54 Combine like terms: -54 + 54 = 0 0 + -2c + -9g = -10 + 54 -2c + -9g = -10 + 54 Combine like terms: -10 + 54 = 44 -2c + -9g = 44 Add '9g' to each side of the equation. -2c + -9g + 9g = 44 + 9g Combine like terms: -9g + 9g = 0 -2c + 0 = 44 + 9g -2c = 44 + 9g Divide each side by '-2'. c = -22 + -4.5g Simplifying c = -22 + -4.5g
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