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Simplifying 7 + -4[3(c + 2) + -4c] = 0 Reorder the terms: 7 + -4[3(2 + c) + -4c] = 0 7 + -4[(2 * 3 + c * 3) + -4c] = 0 7 + -4[(6 + 3c) + -4c] = 0 Combine like terms: 3c + -4c = -1c 7 + -4[6 + -1c] = 0 7 + [6 * -4 + -1c * -4] = 0 7 + [-24 + 4c] = 0 Combine like terms: 7 + -24 = -17 -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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