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Simplifying (7x + -9y + 3) + -1(7d + -3c + 8) = 0 Reorder the terms: (3 + 7x + -9y) + -1(7d + -3c + 8) = 0 Remove parenthesis around (3 + 7x + -9y) 3 + 7x + -9y + -1(7d + -3c + 8) = 0 Reorder the terms: 3 + 7x + -9y + -1(8 + -3c + 7d) = 0 3 + 7x + -9y + (8 * -1 + -3c * -1 + 7d * -1) = 0 3 + 7x + -9y + (-8 + 3c + -7d) = 0 Reorder the terms: 3 + -8 + 3c + -7d + 7x + -9y = 0 Combine like terms: 3 + -8 = -5 -5 + 3c + -7d + 7x + -9y = 0 Solving -5 + 3c + -7d + 7x + -9y = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 3c + -7d + 7x + 5 + -9y = 0 + 5 Reorder the terms: -5 + 5 + 3c + -7d + 7x + -9y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 3c + -7d + 7x + -9y = 0 + 5 3c + -7d + 7x + -9y = 0 + 5 Combine like terms: 0 + 5 = 5 3c + -7d + 7x + -9y = 5 Add '7d' to each side of the equation. 3c + -7d + 7x + 7d + -9y = 5 + 7d Reorder the terms: 3c + -7d + 7d + 7x + -9y = 5 + 7d Combine like terms: -7d + 7d = 0 3c + 0 + 7x + -9y = 5 + 7d 3c + 7x + -9y = 5 + 7d Add '-7x' to each side of the equation. 3c + 7x + -7x + -9y = 5 + 7d + -7x Combine like terms: 7x + -7x = 0 3c + 0 + -9y = 5 + 7d + -7x 3c + -9y = 5 + 7d + -7x Add '9y' to each side of the equation. 3c + -9y + 9y = 5 + 7d + -7x + 9y Combine like terms: -9y + 9y = 0 3c + 0 = 5 + 7d + -7x + 9y 3c = 5 + 7d + -7x + 9y Divide each side by '3'. c = 1.666666667 + 2.333333333d + -2.333333333x + 3y Simplifying c = 1.666666667 + 2.333333333d + -2.333333333x + 3y
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