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Simplifying 7(c + -4) = 1 + 6c Reorder the terms: 7(-4 + c) = 1 + 6c (-4 * 7 + c * 7) = 1 + 6c (-28 + 7c) = 1 + 6c Solving -28 + 7c = 1 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -28 + 7c + -6c = 1 + 6c + -6c Combine like terms: 7c + -6c = 1c -28 + 1c = 1 + 6c + -6c Combine like terms: 6c + -6c = 0 -28 + 1c = 1 + 0 -28 + 1c = 1 Add '28' to each side of the equation. -28 + 28 + 1c = 1 + 28 Combine like terms: -28 + 28 = 0 0 + 1c = 1 + 28 1c = 1 + 28 Combine like terms: 1 + 28 = 29 1c = 29 Divide each side by '1'. c = 29 Simplifying c = 29
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