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Simplifying 7(c + -3) + 7 = 4 + c + -18 Reorder the terms: 7(-3 + c) + 7 = 4 + c + -18 (-3 * 7 + c * 7) + 7 = 4 + c + -18 (-21 + 7c) + 7 = 4 + c + -18 Reorder the terms: -21 + 7 + 7c = 4 + c + -18 Combine like terms: -21 + 7 = -14 -14 + 7c = 4 + c + -18 Reorder the terms: -14 + 7c = 4 + -18 + c Combine like terms: 4 + -18 = -14 -14 + 7c = -14 + c Add '14' to each side of the equation. -14 + 14 + 7c = -14 + 14 + c Combine like terms: -14 + 14 = 0 0 + 7c = -14 + 14 + c 7c = -14 + 14 + c Combine like terms: -14 + 14 = 0 7c = 0 + c 7c = c Solving 7c = c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 7c + -1c = c + -1c Combine like terms: 7c + -1c = 6c 6c = c + -1c Combine like terms: c + -1c = 0 6c = 0 Divide each side by '6'. c = 0 Simplifying c = 0
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