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Simplifying 6(c + -6) = 7(c + -8) Reorder the terms: 6(-6 + c) = 7(c + -8) (-6 * 6 + c * 6) = 7(c + -8) (-36 + 6c) = 7(c + -8) Reorder the terms: -36 + 6c = 7(-8 + c) -36 + 6c = (-8 * 7 + c * 7) -36 + 6c = (-56 + 7c) Solving -36 + 6c = -56 + 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 = -56 + 7c + -7c Combine like terms: 6c + -7c = -1c -36 + -1c = -56 + 7c + -7c Combine like terms: 7c + -7c = 0 -36 + -1c = -56 + 0 -36 + -1c = -56 Add '36' to each side of the equation. -36 + 36 + -1c = -56 + 36 Combine like terms: -36 + 36 = 0 0 + -1c = -56 + 36 -1c = -56 + 36 Combine like terms: -56 + 36 = -20 -1c = -20 Divide each side by '-1'. c = 20 Simplifying c = 20
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