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Simplifying 7 + -7(3c + -2) + 4(c + -7) + 3c = 0 Reorder the terms: 7 + -7(-2 + 3c) + 4(c + -7) + 3c = 0 7 + (-2 * -7 + 3c * -7) + 4(c + -7) + 3c = 0 7 + (14 + -21c) + 4(c + -7) + 3c = 0 Reorder the terms: 7 + 14 + -21c + 4(-7 + c) + 3c = 0 7 + 14 + -21c + (-7 * 4 + c * 4) + 3c = 0 7 + 14 + -21c + (-28 + 4c) + 3c = 0 Reorder the terms: 7 + 14 + -28 + -21c + 4c + 3c = 0 Combine like terms: 7 + 14 = 21 21 + -28 + -21c + 4c + 3c = 0 Combine like terms: 21 + -28 = -7 -7 + -21c + 4c + 3c = 0 Combine like terms: -21c + 4c = -17c -7 + -17c + 3c = 0 Combine like terms: -17c + 3c = -14c -7 + -14c = 0 Solving -7 + -14c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -14c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -14c = 0 + 7 -14c = 0 + 7 Combine like terms: 0 + 7 = 7 -14c = 7 Divide each side by '-14'. c = -0.5 Simplifying c = -0.5
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