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Simplifying -4(2c + -8) + -1(4c + 7) + 1 = 0 Reorder the terms: -4(-8 + 2c) + -1(4c + 7) + 1 = 0 (-8 * -4 + 2c * -4) + -1(4c + 7) + 1 = 0 (32 + -8c) + -1(4c + 7) + 1 = 0 Reorder the terms: 32 + -8c + -1(7 + 4c) + 1 = 0 32 + -8c + (7 * -1 + 4c * -1) + 1 = 0 32 + -8c + (-7 + -4c) + 1 = 0 Reorder the terms: 32 + -7 + 1 + -8c + -4c = 0 Combine like terms: 32 + -7 = 25 25 + 1 + -8c + -4c = 0 Combine like terms: 25 + 1 = 26 26 + -8c + -4c = 0 Combine like terms: -8c + -4c = -12c 26 + -12c = 0 Solving 26 + -12c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -12c = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -12c = 0 + -26 -12c = 0 + -26 Combine like terms: 0 + -26 = -26 -12c = -26 Divide each side by '-12'. c = 2.166666667 Simplifying c = 2.166666667
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