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Simplifying 7(c + -7) = 8(c + 8) Reorder the terms: 7(-7 + c) = 8(c + 8) (-7 * 7 + c * 7) = 8(c + 8) (-49 + 7c) = 8(c + 8) Reorder the terms: -49 + 7c = 8(8 + c) -49 + 7c = (8 * 8 + c * 8) -49 + 7c = (64 + 8c) Solving -49 + 7c = 64 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -49 + 7c + -8c = 64 + 8c + -8c Combine like terms: 7c + -8c = -1c -49 + -1c = 64 + 8c + -8c Combine like terms: 8c + -8c = 0 -49 + -1c = 64 + 0 -49 + -1c = 64 Add '49' to each side of the equation. -49 + 49 + -1c = 64 + 49 Combine like terms: -49 + 49 = 0 0 + -1c = 64 + 49 -1c = 64 + 49 Combine like terms: 64 + 49 = 113 -1c = 113 Divide each side by '-1'. c = -113 Simplifying c = -113
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