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Simplifying 8(7 + c) = 7(c + -3) (7 * 8 + c * 8) = 7(c + -3) (56 + 8c) = 7(c + -3) Reorder the terms: 56 + 8c = 7(-3 + c) 56 + 8c = (-3 * 7 + c * 7) 56 + 8c = (-21 + 7c) Solving 56 + 8c = -21 + 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. 56 + 8c + -7c = -21 + 7c + -7c Combine like terms: 8c + -7c = 1c 56 + 1c = -21 + 7c + -7c Combine like terms: 7c + -7c = 0 56 + 1c = -21 + 0 56 + 1c = -21 Add '-56' to each side of the equation. 56 + -56 + 1c = -21 + -56 Combine like terms: 56 + -56 = 0 0 + 1c = -21 + -56 1c = -21 + -56 Combine like terms: -21 + -56 = -77 1c = -77 Divide each side by '1'. c = -77 Simplifying c = -77
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