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Simplifying 3(4c + -7) + -4(4c + -1) = 0 Reorder the terms: 3(-7 + 4c) + -4(4c + -1) = 0 (-7 * 3 + 4c * 3) + -4(4c + -1) = 0 (-21 + 12c) + -4(4c + -1) = 0 Reorder the terms: -21 + 12c + -4(-1 + 4c) = 0 -21 + 12c + (-1 * -4 + 4c * -4) = 0 -21 + 12c + (4 + -16c) = 0 Reorder the terms: -21 + 4 + 12c + -16c = 0 Combine like terms: -21 + 4 = -17 -17 + 12c + -16c = 0 Combine like terms: 12c + -16c = -4c -17 + -4c = 0 Solving -17 + -4c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -4c = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -4c = 0 + 17 -4c = 0 + 17 Combine like terms: 0 + 17 = 17 -4c = 17 Divide each side by '-4'. c = -4.25 Simplifying c = -4.25
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