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Simplifying 6(c + -6) = 7(c + -7) Reorder the terms: 6(-6 + c) = 7(c + -7) (-6 * 6 + c * 6) = 7(c + -7) (-36 + 6c) = 7(c + -7) Reorder the terms: -36 + 6c = 7(-7 + c) -36 + 6c = (-7 * 7 + c * 7) -36 + 6c = (-49 + 7c) Solving -36 + 6c = -49 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -36 + 6c + -7c = -49 + 7c + -7c Combine like terms: 6c + -7c = -1c -36 + -1c = -49 + 7c + -7c Combine like terms: 7c + -7c = 0 -36 + -1c = -49 + 0 -36 + -1c = -49 Add '36' to each side of the equation. -36 + 36 + -1c = -49 + 36 Combine like terms: -36 + 36 = 0 0 + -1c = -49 + 36 -1c = -49 + 36 Combine like terms: -49 + 36 = -13 -1c = -13 Divide each side by '-1'. c = 13 Simplifying c = 13
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