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