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Simplifying 7(4 + c) = 6(c + -7) (4 * 7 + c * 7) = 6(c + -7) (28 + 7c) = 6(c + -7) Reorder the terms: 28 + 7c = 6(-7 + c) 28 + 7c = (-7 * 6 + c * 6) 28 + 7c = (-42 + 6c) Solving 28 + 7c = -42 + 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 = -42 + 6c + -6c Combine like terms: 7c + -6c = 1c 28 + 1c = -42 + 6c + -6c Combine like terms: 6c + -6c = 0 28 + 1c = -42 + 0 28 + 1c = -42 Add '-28' to each side of the equation. 28 + -28 + 1c = -42 + -28 Combine like terms: 28 + -28 = 0 0 + 1c = -42 + -28 1c = -42 + -28 Combine like terms: -42 + -28 = -70 1c = -70 Divide each side by '1'. c = -70 Simplifying c = -70
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