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Simplifying 7(c + -9) = 9(2 + -8) + 4c Reorder the terms: 7(-9 + c) = 9(2 + -8) + 4c (-9 * 7 + c * 7) = 9(2 + -8) + 4c (-63 + 7c) = 9(2 + -8) + 4c Combine like terms: 2 + -8 = -6 -63 + 7c = 9(-6) + 4c Multiply 9 * -6 -63 + 7c = -54 + 4c Solving -63 + 7c = -54 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -63 + 7c + -4c = -54 + 4c + -4c Combine like terms: 7c + -4c = 3c -63 + 3c = -54 + 4c + -4c Combine like terms: 4c + -4c = 0 -63 + 3c = -54 + 0 -63 + 3c = -54 Add '63' to each side of the equation. -63 + 63 + 3c = -54 + 63 Combine like terms: -63 + 63 = 0 0 + 3c = -54 + 63 3c = -54 + 63 Combine like terms: -54 + 63 = 9 3c = 9 Divide each side by '3'. c = 3 Simplifying c = 3
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